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Finding the Fourth Proportional to 10,618.62, 14,636.88 and 9,761.10

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Solution

The fourth proportional to 10,618.62, 14,636.88 and 9,761.10 is: 13,454.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618.62 : 14,636.88 = 9,761.10 : x
  2. Step 2: Convert to fraction form
    10,618.62/14,636.88 = 9,761.10/x
  3. Step 3: Cross multiply
    10,618.62x = 14,636.88 × 9,761.10
  4. Step 4: Simplify right side
    10,618.62x = 142,872,049.37
  5. Step 5: Solve for x
    x = 142,872,049.37/10,618.62
  6. Step 6: Final answer
    x = 13,454.86

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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.