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Finding the Fourth Proportional to 10,957.60, 16,412.10 and 8,484.40

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Solution

The fourth proportional to 10,957.60, 16,412.10 and 8,484.40 is: 12,707.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.60 : 16,412.10 = 8,484.40 : x
  2. Step 2: Convert to fraction form
    10,957.60/16,412.10 = 8,484.40/x
  3. Step 3: Cross multiply
    10,957.60x = 16,412.10 × 8,484.40
  4. Step 4: Simplify right side
    10,957.60x = 139,246,821.24
  5. Step 5: Solve for x
    x = 139,246,821.24/10,957.60
  6. Step 6: Final answer
    x = 12,707.78

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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.