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Finding the Fourth Proportional to 8,417.20, 11,615.22 and 4,640.17

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Solution

The fourth proportional to 8,417.20, 11,615.22 and 4,640.17 is: 6,403.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.20 : 11,615.22 = 4,640.17 : x
  2. Step 2: Convert to fraction form
    8,417.20/11,615.22 = 4,640.17/x
  3. Step 3: Cross multiply
    8,417.20x = 11,615.22 × 4,640.17
  4. Step 4: Simplify right side
    8,417.20x = 53,896,572.19
  5. Step 5: Solve for x
    x = 53,896,572.19/8,417.20
  6. Step 6: Final answer
    x = 6,403.15

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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.