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Finding the Fourth Proportional to 8,484.32, 12,712.52 and 8,160.32

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Solution

The fourth proportional to 8,484.32, 12,712.52 and 8,160.32 is: 12,227.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.32 : 12,712.52 = 8,160.32 : x
  2. Step 2: Convert to fraction form
    8,484.32/12,712.52 = 8,160.32/x
  3. Step 3: Cross multiply
    8,484.32x = 12,712.52 × 8,160.32
  4. Step 4: Simplify right side
    8,484.32x = 103,738,231.21
  5. Step 5: Solve for x
    x = 103,738,231.21/8,484.32
  6. Step 6: Final answer
    x = 12,227.05

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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.