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Finding the Fourth Proportional to 10,565.44, 15,863.69 and 5,894.58

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Solution

The fourth proportional to 10,565.44, 15,863.69 and 5,894.58 is: 8,850.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.44 : 15,863.69 = 5,894.58 : x
  2. Step 2: Convert to fraction form
    10,565.44/15,863.69 = 5,894.58/x
  3. Step 3: Cross multiply
    10,565.44x = 15,863.69 × 5,894.58
  4. Step 4: Simplify right side
    10,565.44x = 93,509,789.80
  5. Step 5: Solve for x
    x = 93,509,789.80/10,565.44
  6. Step 6: Final answer
    x = 8,850.53

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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.