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Finding the Fourth Proportional to 8,536.68, 11,767.14 and 6,437.16

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Solution

The fourth proportional to 8,536.68, 11,767.14 and 6,437.16 is: 8,873.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.68 : 11,767.14 = 6,437.16 : x
  2. Step 2: Convert to fraction form
    8,536.68/11,767.14 = 6,437.16/x
  3. Step 3: Cross multiply
    8,536.68x = 11,767.14 × 6,437.16
  4. Step 4: Simplify right side
    8,536.68x = 75,746,962.92
  5. Step 5: Solve for x
    x = 75,746,962.92/8,536.68
  6. Step 6: Final answer
    x = 8,873.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.