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Finding the Fourth Proportional to 10,159.54, 15,232.14 and 3,914.32

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Solution

The fourth proportional to 10,159.54, 15,232.14 and 3,914.32 is: 5,868.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.54 : 15,232.14 = 3,914.32 : x
  2. Step 2: Convert to fraction form
    10,159.54/15,232.14 = 3,914.32/x
  3. Step 3: Cross multiply
    10,159.54x = 15,232.14 × 3,914.32
  4. Step 4: Simplify right side
    10,159.54x = 59,623,470.24
  5. Step 5: Solve for x
    x = 59,623,470.24/10,159.54
  6. Step 6: Final answer
    x = 5,868.72

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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.