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Finding the Fourth Proportional to 10,568.85, 14,585.01 and 5,853.15

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Solution

The fourth proportional to 10,568.85, 14,585.01 and 5,853.15 is: 8,077.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.85 : 14,585.01 = 5,853.15 : x
  2. Step 2: Convert to fraction form
    10,568.85/14,585.01 = 5,853.15/x
  3. Step 3: Cross multiply
    10,568.85x = 14,585.01 × 5,853.15
  4. Step 4: Simplify right side
    10,568.85x = 85,368,251.28
  5. Step 5: Solve for x
    x = 85,368,251.28/10,568.85
  6. Step 6: Final answer
    x = 8,077.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.