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Finding the Fourth Proportional to 10,655.87, 14,702.72 and 7,116.57

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Solution

The fourth proportional to 10,655.87, 14,702.72 and 7,116.57 is: 9,819.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.87 : 14,702.72 = 7,116.57 : x
  2. Step 2: Convert to fraction form
    10,655.87/14,702.72 = 7,116.57/x
  3. Step 3: Cross multiply
    10,655.87x = 14,702.72 × 7,116.57
  4. Step 4: Simplify right side
    10,655.87x = 104,632,900.49
  5. Step 5: Solve for x
    x = 104,632,900.49/10,655.87
  6. Step 6: Final answer
    x = 9,819.28

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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.