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Finding the Fourth Proportional to 10,481.48, 15,708.33 and 7,695.13

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Solution

The fourth proportional to 10,481.48, 15,708.33 and 7,695.13 is: 11,532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.48 : 15,708.33 = 7,695.13 : x
  2. Step 2: Convert to fraction form
    10,481.48/15,708.33 = 7,695.13/x
  3. Step 3: Cross multiply
    10,481.48x = 15,708.33 × 7,695.13
  4. Step 4: Simplify right side
    10,481.48x = 120,877,641.43
  5. Step 5: Solve for x
    x = 120,877,641.43/10,481.48
  6. Step 6: Final answer
    x = 11,532.50

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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.