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Finding the Fourth Proportional to 10,882.52, 15,018.10 and 5,914.52

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Solution

The fourth proportional to 10,882.52, 15,018.10 and 5,914.52 is: 8,162.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.52 : 15,018.10 = 5,914.52 : x
  2. Step 2: Convert to fraction form
    10,882.52/15,018.10 = 5,914.52/x
  3. Step 3: Cross multiply
    10,882.52x = 15,018.10 × 5,914.52
  4. Step 4: Simplify right side
    10,882.52x = 88,824,852.81
  5. Step 5: Solve for x
    x = 88,824,852.81/10,882.52
  6. Step 6: Final answer
    x = 8,162.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.