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Finding the Fourth Proportional to 8,473.40, 12,710.10 and 4,099.40

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Solution

The fourth proportional to 8,473.40, 12,710.10 and 4,099.40 is: 6,149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,473.40 : 12,710.10 = 4,099.40 : x
  2. Step 2: Convert to fraction form
    8,473.40/12,710.10 = 4,099.40/x
  3. Step 3: Cross multiply
    8,473.40x = 12,710.10 × 4,099.40
  4. Step 4: Simplify right side
    8,473.40x = 52,103,783.94
  5. Step 5: Solve for x
    x = 52,103,783.94/8,473.40
  6. Step 6: Final answer
    x = 6,149.10

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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.