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Finding the Fourth Proportional to 10,559.86, 14,574.38 and 6,082.78

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Solution

The fourth proportional to 10,559.86, 14,574.38 and 6,082.78 is: 8,395.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559.86 : 14,574.38 = 6,082.78 : x
  2. Step 2: Convert to fraction form
    10,559.86/14,574.38 = 6,082.78/x
  3. Step 3: Cross multiply
    10,559.86x = 14,574.38 × 6,082.78
  4. Step 4: Simplify right side
    10,559.86x = 88,652,747.18
  5. Step 5: Solve for x
    x = 88,652,747.18/10,559.86
  6. Step 6: Final answer
    x = 8,395.26

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Why These Related Problems?

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