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Finding the Fourth Proportional to 8,615.46, 11,897.64 and 7,425.17

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Solution

The fourth proportional to 8,615.46, 11,897.64 and 7,425.17 is: 10,253.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,615.46 : 11,897.64 = 7,425.17 : x
  2. Step 2: Convert to fraction form
    8,615.46/11,897.64 = 7,425.17/x
  3. Step 3: Cross multiply
    8,615.46x = 11,897.64 × 7,425.17
  4. Step 4: Simplify right side
    8,615.46x = 88,341,940.11
  5. Step 5: Solve for x
    x = 88,341,940.11/8,615.46
  6. Step 6: Final answer
    x = 10,253.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.