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Finding the Fourth Proportional to 10,585.75, 15,879.29 and 3,565.19

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Solution

The fourth proportional to 10,585.75, 15,879.29 and 3,565.19 is: 5,348.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.75 : 15,879.29 = 3,565.19 : x
  2. Step 2: Convert to fraction form
    10,585.75/15,879.29 = 3,565.19/x
  3. Step 3: Cross multiply
    10,585.75x = 15,879.29 × 3,565.19
  4. Step 4: Simplify right side
    10,585.75x = 56,612,685.92
  5. Step 5: Solve for x
    x = 56,612,685.92/10,585.75
  6. Step 6: Final answer
    x = 5,348.01

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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.