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Finding the Fourth Proportional to 10,264.64, 15,382.90 and 5,578.52

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Solution

The fourth proportional to 10,264.64, 15,382.90 and 5,578.52 is: 8,360.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.64 : 15,382.90 = 5,578.52 : x
  2. Step 2: Convert to fraction form
    10,264.64/15,382.90 = 5,578.52/x
  3. Step 3: Cross multiply
    10,264.64x = 15,382.90 × 5,578.52
  4. Step 4: Simplify right side
    10,264.64x = 85,813,815.31
  5. Step 5: Solve for x
    x = 85,813,815.31/10,264.64
  6. Step 6: Final answer
    x = 8,360.14

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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.