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Finding the Fourth Proportional to 10,260.87, 15,384.01 and 5,264.75

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Solution

The fourth proportional to 10,260.87, 15,384.01 and 5,264.75 is: 7,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,260.87 : 15,384.01 = 5,264.75 : x
  2. Step 2: Convert to fraction form
    10,260.87/15,384.01 = 5,264.75/x
  3. Step 3: Cross multiply
    10,260.87x = 15,384.01 × 5,264.75
  4. Step 4: Simplify right side
    10,260.87x = 80,992,966.65
  5. Step 5: Solve for x
    x = 80,992,966.65/10,260.87
  6. Step 6: Final answer
    x = 7,893.38

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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.