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Finding the Fourth Proportional to 10,506,363, 14,498,780.94 and 5,677,467

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Solution

The fourth proportional to 10,506,363, 14,498,780.94 and 5,677,467 is: 7,834,904.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506,363 : 14,498,780.94 = 5,677,467 : x
  2. Step 2: Convert to fraction form
    10,506,363/14,498,780.94 = 5,677,467/x
  3. Step 3: Cross multiply
    10,506,363x = 14,498,780.94 × 5,677,467
  4. Step 4: Simplify right side
    10,506,363x = 82,316,350,327,078.98
  5. Step 5: Solve for x
    x = 82,316,350,327,078.98/10,506,363
  6. Step 6: Final answer
    x = 7,834,904.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.