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Finding the Fourth Proportional to 10,543.13, 15,817.29 and 7,429.22

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Solution

The fourth proportional to 10,543.13, 15,817.29 and 7,429.22 is: 11,145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.13 : 15,817.29 = 7,429.22 : x
  2. Step 2: Convert to fraction form
    10,543.13/15,817.29 = 7,429.22/x
  3. Step 3: Cross multiply
    10,543.13x = 15,817.29 × 7,429.22
  4. Step 4: Simplify right side
    10,543.13x = 117,510,127.21
  5. Step 5: Solve for x
    x = 117,510,127.21/10,543.13
  6. Step 6: Final answer
    x = 11,145.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.