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Finding the Fourth Proportional to 10,709.19, 14,780.07 and 6,234.30

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Solution

The fourth proportional to 10,709.19, 14,780.07 and 6,234.30 is: 8,604.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.19 : 14,780.07 = 6,234.30 : x
  2. Step 2: Convert to fraction form
    10,709.19/14,780.07 = 6,234.30/x
  3. Step 3: Cross multiply
    10,709.19x = 14,780.07 × 6,234.30
  4. Step 4: Simplify right side
    10,709.19x = 92,143,390.40
  5. Step 5: Solve for x
    x = 92,143,390.40/10,709.19
  6. Step 6: Final answer
    x = 8,604.14

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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.