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Finding the Fourth Proportional to 8,417.91, 11,616.80 and 4,641.22

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Solution

The fourth proportional to 8,417.91, 11,616.80 and 4,641.22 is: 6,404.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.91 : 11,616.80 = 4,641.22 : x
  2. Step 2: Convert to fraction form
    8,417.91/11,616.80 = 4,641.22/x
  3. Step 3: Cross multiply
    8,417.91x = 11,616.80 × 4,641.22
  4. Step 4: Simplify right side
    8,417.91x = 53,916,043.21
  5. Step 5: Solve for x
    x = 53,916,043.21/8,417.91
  6. Step 6: Final answer
    x = 6,404.92

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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.