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Finding the Fourth Proportional to 10,780.84, 14,844.90 and 9,205.48

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Solution

The fourth proportional to 10,780.84, 14,844.90 and 9,205.48 is: 12,675.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,780.84 : 14,844.90 = 9,205.48 : x
  2. Step 2: Convert to fraction form
    10,780.84/14,844.90 = 9,205.48/x
  3. Step 3: Cross multiply
    10,780.84x = 14,844.90 × 9,205.48
  4. Step 4: Simplify right side
    10,780.84x = 136,654,430.05
  5. Step 5: Solve for x
    x = 136,654,430.05/10,780.84
  6. Step 6: Final answer
    x = 12,675.68

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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.