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Finding the Fourth Proportional to 11,605.17, 17,410.46 and 5,032.02

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Solution

The fourth proportional to 11,605.17, 17,410.46 and 5,032.02 is: 7,549.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.17 : 17,410.46 = 5,032.02 : x
  2. Step 2: Convert to fraction form
    11,605.17/17,410.46 = 5,032.02/x
  3. Step 3: Cross multiply
    11,605.17x = 17,410.46 × 5,032.02
  4. Step 4: Simplify right side
    11,605.17x = 87,609,757.77
  5. Step 5: Solve for x
    x = 87,609,757.77/11,605.17
  6. Step 6: Final answer
    x = 7,549.20

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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.