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Finding the Fourth Proportional to 8,536.16, 12,805.68 and 6,459.04

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Solution

The fourth proportional to 8,536.16, 12,805.68 and 6,459.04 is: 9,689.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.16 : 12,805.68 = 6,459.04 : x
  2. Step 2: Convert to fraction form
    8,536.16/12,805.68 = 6,459.04/x
  3. Step 3: Cross multiply
    8,536.16x = 12,805.68 × 6,459.04
  4. Step 4: Simplify right side
    8,536.16x = 82,712,399.35
  5. Step 5: Solve for x
    x = 82,712,399.35/8,536.16
  6. Step 6: Final answer
    x = 9,689.65

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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.