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Finding the Fourth Proportional to 8,871.68, 12,259.20 and 7,688.96

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Solution

The fourth proportional to 8,871.68, 12,259.20 and 7,688.96 is: 10,624.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,871.68 : 12,259.20 = 7,688.96 : x
  2. Step 2: Convert to fraction form
    8,871.68/12,259.20 = 7,688.96/x
  3. Step 3: Cross multiply
    8,871.68x = 12,259.20 × 7,688.96
  4. Step 4: Simplify right side
    8,871.68x = 94,260,498.43
  5. Step 5: Solve for x
    x = 94,260,498.43/8,871.68
  6. Step 6: Final answer
    x = 10,624.88

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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.