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Finding the Fourth Proportional to 10,226.48, 15,344.04 and 6,532.88

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Solution

The fourth proportional to 10,226.48, 15,344.04 and 6,532.88 is: 9,802.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.48 : 15,344.04 = 6,532.88 : x
  2. Step 2: Convert to fraction form
    10,226.48/15,344.04 = 6,532.88/x
  3. Step 3: Cross multiply
    10,226.48x = 15,344.04 × 6,532.88
  4. Step 4: Simplify right side
    10,226.48x = 100,240,772.04
  5. Step 5: Solve for x
    x = 100,240,772.04/10,226.48
  6. Step 6: Final answer
    x = 9,802.08

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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.