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Finding the Fourth Proportional to 10,105.88, 15,165.75 and 3,532.07

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Solution

The fourth proportional to 10,105.88, 15,165.75 and 3,532.07 is: 5,300.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105.88 : 15,165.75 = 3,532.07 : x
  2. Step 2: Convert to fraction form
    10,105.88/15,165.75 = 3,532.07/x
  3. Step 3: Cross multiply
    10,105.88x = 15,165.75 × 3,532.07
  4. Step 4: Simplify right side
    10,105.88x = 53,566,397.11
  5. Step 5: Solve for x
    x = 53,566,397.11/10,105.88
  6. Step 6: Final answer
    x = 5,300.52

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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.