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Finding the Fourth Proportional to 10,807.20, 14,914.80 and 6,091.92

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Solution

The fourth proportional to 10,807.20, 14,914.80 and 6,091.92 is: 8,407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.20 : 14,914.80 = 6,091.92 : x
  2. Step 2: Convert to fraction form
    10,807.20/14,914.80 = 6,091.92/x
  3. Step 3: Cross multiply
    10,807.20x = 14,914.80 × 6,091.92
  4. Step 4: Simplify right side
    10,807.20x = 90,859,768.42
  5. Step 5: Solve for x
    x = 90,859,768.42/10,807.20
  6. Step 6: Final answer
    x = 8,407.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.