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Finding the Fourth Proportional to 11,702.37, 17,557.66 and 5,127.71

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Solution

The fourth proportional to 11,702.37, 17,557.66 and 5,127.71 is: 7,693.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.37 : 17,557.66 = 5,127.71 : x
  2. Step 2: Convert to fraction form
    11,702.37/17,557.66 = 5,127.71/x
  3. Step 3: Cross multiply
    11,702.37x = 17,557.66 × 5,127.71
  4. Step 4: Simplify right side
    11,702.37x = 90,030,507.38
  5. Step 5: Solve for x
    x = 90,030,507.38/11,702.37
  6. Step 6: Final answer
    x = 7,693.35

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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.