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Finding the Fourth Proportional to 8,414.86, 11,607.69 and 5,265.58

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Solution

The fourth proportional to 8,414.86, 11,607.69 and 5,265.58 is: 7,263.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.86 : 11,607.69 = 5,265.58 : x
  2. Step 2: Convert to fraction form
    8,414.86/11,607.69 = 5,265.58/x
  3. Step 3: Cross multiply
    8,414.86x = 11,607.69 × 5,265.58
  4. Step 4: Simplify right side
    8,414.86x = 61,121,220.31
  5. Step 5: Solve for x
    x = 61,121,220.31/8,414.86
  6. Step 6: Final answer
    x = 7,263.49

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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.