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Finding the Fourth Proportional to 10,258.87, 15,381.02 and 5,262.75

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Solution

The fourth proportional to 10,258.87, 15,381.02 and 5,262.75 is: 7,890.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.87 : 15,381.02 = 5,262.75 : x
  2. Step 2: Convert to fraction form
    10,258.87/15,381.02 = 5,262.75/x
  3. Step 3: Cross multiply
    10,258.87x = 15,381.02 × 5,262.75
  4. Step 4: Simplify right side
    10,258.87x = 80,946,436.69
  5. Step 5: Solve for x
    x = 80,946,436.69/10,258.87
  6. Step 6: Final answer
    x = 7,890.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.