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Finding the Fourth Proportional to 10,254.18, 15,375.18 and 4,011.50

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Solution

The fourth proportional to 10,254.18, 15,375.18 and 4,011.50 is: 6,014.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.18 : 15,375.18 = 4,011.50 : x
  2. Step 2: Convert to fraction form
    10,254.18/15,375.18 = 4,011.50/x
  3. Step 3: Cross multiply
    10,254.18x = 15,375.18 × 4,011.50
  4. Step 4: Simplify right side
    10,254.18x = 61,677,534.57
  5. Step 5: Solve for x
    x = 61,677,534.57/10,254.18
  6. Step 6: Final answer
    x = 6,014.87

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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.