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Finding the Fourth Proportional to 8,417.10, 11,611.33 and 6,424.19

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Solution

The fourth proportional to 8,417.10, 11,611.33 and 6,424.19 is: 8,862.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.10 : 11,611.33 = 6,424.19 : x
  2. Step 2: Convert to fraction form
    8,417.10/11,611.33 = 6,424.19/x
  3. Step 3: Cross multiply
    8,417.10x = 11,611.33 × 6,424.19
  4. Step 4: Simplify right side
    8,417.10x = 74,593,424.81
  5. Step 5: Solve for x
    x = 74,593,424.81/8,417.10
  6. Step 6: Final answer
    x = 8,862.13

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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.