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Finding the Fourth Proportional to 8,715.47, 13,040.91 and 5,207.38

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Solution

The fourth proportional to 8,715.47, 13,040.91 and 5,207.38 is: 7,791.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,715.47 : 13,040.91 = 5,207.38 : x
  2. Step 2: Convert to fraction form
    8,715.47/13,040.91 = 5,207.38/x
  3. Step 3: Cross multiply
    8,715.47x = 13,040.91 × 5,207.38
  4. Step 4: Simplify right side
    8,715.47x = 67,908,941.31
  5. Step 5: Solve for x
    x = 67,908,941.31/8,715.47
  6. Step 6: Final answer
    x = 7,791.77

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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.