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Finding the Fourth Proportional to 10,532.68, 14,538.72 and 6,996.76

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Solution

The fourth proportional to 10,532.68, 14,538.72 and 6,996.76 is: 9,657.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532.68 : 14,538.72 = 6,996.76 : x
  2. Step 2: Convert to fraction form
    10,532.68/14,538.72 = 6,996.76/x
  3. Step 3: Cross multiply
    10,532.68x = 14,538.72 × 6,996.76
  4. Step 4: Simplify right side
    10,532.68x = 101,723,934.55
  5. Step 5: Solve for x
    x = 101,723,934.55/10,532.68
  6. Step 6: Final answer
    x = 9,657.93

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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.