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Finding the Fourth Proportional to 8,356.71, 12,537.38 and 7,438.68

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Solution

The fourth proportional to 8,356.71, 12,537.38 and 7,438.68 is: 11,160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.71 : 12,537.38 = 7,438.68 : x
  2. Step 2: Convert to fraction form
    8,356.71/12,537.38 = 7,438.68/x
  3. Step 3: Cross multiply
    8,356.71x = 12,537.38 × 7,438.68
  4. Step 4: Simplify right side
    8,356.71x = 93,261,557.86
  5. Step 5: Solve for x
    x = 93,261,557.86/8,356.71
  6. Step 6: Final answer
    x = 11,160.08

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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.