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Finding the Fourth Proportional to 11,657.29, 17,476.42 and 5,421.20

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Solution

The fourth proportional to 11,657.29, 17,476.42 and 5,421.20 is: 8,127.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.29 : 17,476.42 = 5,421.20 : x
  2. Step 2: Convert to fraction form
    11,657.29/17,476.42 = 5,421.20/x
  3. Step 3: Cross multiply
    11,657.29x = 17,476.42 × 5,421.20
  4. Step 4: Simplify right side
    11,657.29x = 94,743,168.10
  5. Step 5: Solve for x
    x = 94,743,168.10/11,657.29
  6. Step 6: Final answer
    x = 8,127.38

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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.