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Finding the Fourth Proportional to 10,258.50, 15,381.17 and 4,333.78

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Solution

The fourth proportional to 10,258.50, 15,381.17 and 4,333.78 is: 6,497.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.50 : 15,381.17 = 4,333.78 : x
  2. Step 2: Convert to fraction form
    10,258.50/15,381.17 = 4,333.78/x
  3. Step 3: Cross multiply
    10,258.50x = 15,381.17 × 4,333.78
  4. Step 4: Simplify right side
    10,258.50x = 66,658,606.92
  5. Step 5: Solve for x
    x = 66,658,606.92/10,258.50
  6. Step 6: Final answer
    x = 6,497.89

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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.