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Finding the Fourth Proportional to 10,704.68, 14,776.56 and 7,166.60

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Solution

The fourth proportional to 10,704.68, 14,776.56 and 7,166.60 is: 9,892.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.68 : 14,776.56 = 7,166.60 : x
  2. Step 2: Convert to fraction form
    10,704.68/14,776.56 = 7,166.60/x
  3. Step 3: Cross multiply
    10,704.68x = 14,776.56 × 7,166.60
  4. Step 4: Simplify right side
    10,704.68x = 105,897,694.90
  5. Step 5: Solve for x
    x = 105,897,694.90/10,704.68
  6. Step 6: Final answer
    x = 9,892.65

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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.