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Finding the Fourth Proportional to 10,572.72, 15,875.48 and 10,105.20

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Solution

The fourth proportional to 10,572.72, 15,875.48 and 10,105.20 is: 15,173.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.72 : 15,875.48 = 10,105.20 : x
  2. Step 2: Convert to fraction form
    10,572.72/15,875.48 = 10,105.20/x
  3. Step 3: Cross multiply
    10,572.72x = 15,875.48 × 10,105.20
  4. Step 4: Simplify right side
    10,572.72x = 160,424,900.50
  5. Step 5: Solve for x
    x = 160,424,900.50/10,572.72
  6. Step 6: Final answer
    x = 15,173.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.