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Finding the Fourth Proportional to 8,005.92, 12,008.88 and 2,459.28

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Solution

The fourth proportional to 8,005.92, 12,008.88 and 2,459.28 is: 3,688.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.92 : 12,008.88 = 2,459.28 : x
  2. Step 2: Convert to fraction form
    8,005.92/12,008.88 = 2,459.28/x
  3. Step 3: Cross multiply
    8,005.92x = 12,008.88 × 2,459.28
  4. Step 4: Simplify right side
    8,005.92x = 29,533,198.41
  5. Step 5: Solve for x
    x = 29,533,198.41/8,005.92
  6. Step 6: Final answer
    x = 3,688.92

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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.