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Finding the Fourth Proportional to 8,732.34, 13,098.60 and 3,537

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Solution

The fourth proportional to 8,732.34, 13,098.60 and 3,537 is: 5,305.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,732.34 : 13,098.60 = 3,537 : x
  2. Step 2: Convert to fraction form
    8,732.34/13,098.60 = 3,537/x
  3. Step 3: Cross multiply
    8,732.34x = 13,098.60 × 3,537
  4. Step 4: Simplify right side
    8,732.34x = 46,329,748.20
  5. Step 5: Solve for x
    x = 46,329,748.20/8,732.34
  6. Step 6: Final answer
    x = 5,305.54

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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.