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Finding the Fourth Proportional to 10,354.30, 15,532.05 and 2,959.30

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Solution

The fourth proportional to 10,354.30, 15,532.05 and 2,959.30 is: 4,439.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.30 : 15,532.05 = 2,959.30 : x
  2. Step 2: Convert to fraction form
    10,354.30/15,532.05 = 2,959.30/x
  3. Step 3: Cross multiply
    10,354.30x = 15,532.05 × 2,959.30
  4. Step 4: Simplify right side
    10,354.30x = 45,963,995.57
  5. Step 5: Solve for x
    x = 45,963,995.57/10,354.30
  6. Step 6: Final answer
    x = 4,439.12

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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.