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Finding the Fourth Proportional to 11,557.67, 17,332.25 and 4,160.14

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Solution

The fourth proportional to 11,557.67, 17,332.25 and 4,160.14 is: 6,238.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.67 : 17,332.25 = 4,160.14 : x
  2. Step 2: Convert to fraction form
    11,557.67/17,332.25 = 4,160.14/x
  3. Step 3: Cross multiply
    11,557.67x = 17,332.25 × 4,160.14
  4. Step 4: Simplify right side
    11,557.67x = 72,104,522.38
  5. Step 5: Solve for x
    x = 72,104,522.38/11,557.67
  6. Step 6: Final answer
    x = 6,238.68

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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.