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Finding the Fourth Proportional to 10,158.30, 15,193.70 and 9,040.50

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Solution

The fourth proportional to 10,158.30, 15,193.70 and 9,040.50 is: 13,521.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158.30 : 15,193.70 = 9,040.50 : x
  2. Step 2: Convert to fraction form
    10,158.30/15,193.70 = 9,040.50/x
  3. Step 3: Cross multiply
    10,158.30x = 15,193.70 × 9,040.50
  4. Step 4: Simplify right side
    10,158.30x = 137,358,591.48
  5. Step 5: Solve for x
    x = 137,358,591.48/10,158.30
  6. Step 6: Final answer
    x = 13,521.82

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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.