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Finding the Fourth Proportional to 11,032.80, 16,508.70 and 8,116.80

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Solution

The fourth proportional to 11,032.80, 16,508.70 and 8,116.80 is: 12,145.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,032.80 : 16,508.70 = 8,116.80 : x
  2. Step 2: Convert to fraction form
    11,032.80/16,508.70 = 8,116.80/x
  3. Step 3: Cross multiply
    11,032.80x = 16,508.70 × 8,116.80
  4. Step 4: Simplify right side
    11,032.80x = 133,997,816.16
  5. Step 5: Solve for x
    x = 133,997,816.16/11,032.80
  6. Step 6: Final answer
    x = 12,145.40

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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.