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Finding the Fourth Proportional to 11,537.71, 17,293.13 and 5,298.38

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Solution

The fourth proportional to 11,537.71, 17,293.13 and 5,298.38 is: 7,941.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.71 : 17,293.13 = 5,298.38 : x
  2. Step 2: Convert to fraction form
    11,537.71/17,293.13 = 5,298.38/x
  3. Step 3: Cross multiply
    11,537.71x = 17,293.13 × 5,298.38
  4. Step 4: Simplify right side
    11,537.71x = 91,625,545.89
  5. Step 5: Solve for x
    x = 91,625,545.89/11,537.71
  6. Step 6: Final answer
    x = 7,941.40

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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.