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Finding the Fourth Proportional to 8,484.48, 12,730.96 and 3,807.83

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Solution

The fourth proportional to 8,484.48, 12,730.96 and 3,807.83 is: 5,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.48 : 12,730.96 = 3,807.83 : x
  2. Step 2: Convert to fraction form
    8,484.48/12,730.96 = 3,807.83/x
  3. Step 3: Cross multiply
    8,484.48x = 12,730.96 × 3,807.83
  4. Step 4: Simplify right side
    8,484.48x = 48,477,331.42
  5. Step 5: Solve for x
    x = 48,477,331.42/8,484.48
  6. Step 6: Final answer
    x = 5,713.65

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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.