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Finding the Fourth Proportional to 10,632.80, 15,911.40 and 9,261.20

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Solution

The fourth proportional to 10,632.80, 15,911.40 and 9,261.20 is: 13,858.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.80 : 15,911.40 = 9,261.20 : x
  2. Step 2: Convert to fraction form
    10,632.80/15,911.40 = 9,261.20/x
  3. Step 3: Cross multiply
    10,632.80x = 15,911.40 × 9,261.20
  4. Step 4: Simplify right side
    10,632.80x = 147,358,657.68
  5. Step 5: Solve for x
    x = 147,358,657.68/10,632.80
  6. Step 6: Final answer
    x = 13,858.88

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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.