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Finding the Fourth Proportional to 8,537.60, 12,808.14 and 3,607.24

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Solution

The fourth proportional to 8,537.60, 12,808.14 and 3,607.24 is: 5,411.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.60 : 12,808.14 = 3,607.24 : x
  2. Step 2: Convert to fraction form
    8,537.60/12,808.14 = 3,607.24/x
  3. Step 3: Cross multiply
    8,537.60x = 12,808.14 × 3,607.24
  4. Step 4: Simplify right side
    8,537.60x = 46,202,034.93
  5. Step 5: Solve for x
    x = 46,202,034.93/8,537.60
  6. Step 6: Final answer
    x = 5,411.60

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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.