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Finding the Fourth Proportional to 10,240.38, 15,360.03 and 5,044.50

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Solution

The fourth proportional to 10,240.38, 15,360.03 and 5,044.50 is: 7,566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,240.38 : 15,360.03 = 5,044.50 : x
  2. Step 2: Convert to fraction form
    10,240.38/15,360.03 = 5,044.50/x
  3. Step 3: Cross multiply
    10,240.38x = 15,360.03 × 5,044.50
  4. Step 4: Simplify right side
    10,240.38x = 77,483,671.34
  5. Step 5: Solve for x
    x = 77,483,671.34/10,240.38
  6. Step 6: Final answer
    x = 7,566.48

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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.