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Finding the Fourth Proportional to 8,507.55, 12,752.62 and 8,294.12

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Solution

The fourth proportional to 8,507.55, 12,752.62 and 8,294.12 is: 12,432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.55 : 12,752.62 = 8,294.12 : x
  2. Step 2: Convert to fraction form
    8,507.55/12,752.62 = 8,294.12/x
  3. Step 3: Cross multiply
    8,507.55x = 12,752.62 × 8,294.12
  4. Step 4: Simplify right side
    8,507.55x = 105,771,676.10
  5. Step 5: Solve for x
    x = 105,771,676.10/8,507.55
  6. Step 6: Final answer
    x = 12,432.68

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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.