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Finding the Fourth Proportional to 10,568.83, 14,585.44 and 5,853.11

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Solution

The fourth proportional to 10,568.83, 14,585.44 and 5,853.11 is: 8,077.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.83 : 14,585.44 = 5,853.11 : x
  2. Step 2: Convert to fraction form
    10,568.83/14,585.44 = 5,853.11/x
  3. Step 3: Cross multiply
    10,568.83x = 14,585.44 × 5,853.11
  4. Step 4: Simplify right side
    10,568.83x = 85,370,184.72
  5. Step 5: Solve for x
    x = 85,370,184.72/10,568.83
  6. Step 6: Final answer
    x = 8,077.54

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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.