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Finding the Fourth Proportional to 10,540.80, 15,811.20 and 5,875.20

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Solution

The fourth proportional to 10,540.80, 15,811.20 and 5,875.20 is: 8,812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.80 : 15,811.20 = 5,875.20 : x
  2. Step 2: Convert to fraction form
    10,540.80/15,811.20 = 5,875.20/x
  3. Step 3: Cross multiply
    10,540.80x = 15,811.20 × 5,875.20
  4. Step 4: Simplify right side
    10,540.80x = 92,893,962.24
  5. Step 5: Solve for x
    x = 92,893,962.24/10,540.80
  6. Step 6: Final answer
    x = 8,812.80

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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.