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Finding the Fourth Proportional to 6,116.27, 8,443.03 and 4,129.51

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Solution

The fourth proportional to 6,116.27, 8,443.03 and 4,129.51 is: 5,700.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.27 : 8,443.03 = 4,129.51 : x
  2. Step 2: Convert to fraction form
    6,116.27/8,443.03 = 4,129.51/x
  3. Step 3: Cross multiply
    6,116.27x = 8,443.03 × 4,129.51
  4. Step 4: Simplify right side
    6,116.27x = 34,865,545.38
  5. Step 5: Solve for x
    x = 34,865,545.38/6,116.27
  6. Step 6: Final answer
    x = 5,700.46

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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.