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Finding the Fourth Proportional to 8,587.40, 12,856.84 and 5,459.68

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Solution

The fourth proportional to 8,587.40, 12,856.84 and 5,459.68 is: 8,174.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,587.40 : 12,856.84 = 5,459.68 : x
  2. Step 2: Convert to fraction form
    8,587.40/12,856.84 = 5,459.68/x
  3. Step 3: Cross multiply
    8,587.40x = 12,856.84 × 5,459.68
  4. Step 4: Simplify right side
    8,587.40x = 70,194,232.21
  5. Step 5: Solve for x
    x = 70,194,232.21/8,587.40
  6. Step 6: Final answer
    x = 8,174.10

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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.