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Finding the Fourth Proportional to 10,125.38, 15,162.96 and 7,008.50

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Solution

The fourth proportional to 10,125.38, 15,162.96 and 7,008.50 is: 10,495.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125.38 : 15,162.96 = 7,008.50 : x
  2. Step 2: Convert to fraction form
    10,125.38/15,162.96 = 7,008.50/x
  3. Step 3: Cross multiply
    10,125.38x = 15,162.96 × 7,008.50
  4. Step 4: Simplify right side
    10,125.38x = 106,269,605.16
  5. Step 5: Solve for x
    x = 106,269,605.16/10,125.38
  6. Step 6: Final answer
    x = 10,495.37

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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.