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Finding the Fourth Proportional to 10,585.49, 15,879.02 and 3,565.49

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Solution

The fourth proportional to 10,585.49, 15,879.02 and 3,565.49 is: 5,348.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.49 : 15,879.02 = 3,565.49 : x
  2. Step 2: Convert to fraction form
    10,585.49/15,879.02 = 3,565.49/x
  3. Step 3: Cross multiply
    10,585.49x = 15,879.02 × 3,565.49
  4. Step 4: Simplify right side
    10,585.49x = 56,616,389.80
  5. Step 5: Solve for x
    x = 56,616,389.80/10,585.49
  6. Step 6: Final answer
    x = 5,348.49

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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.