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Finding the Fourth Proportional to 8,417.71, 11,616.53 and 4,641.03

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Solution

The fourth proportional to 8,417.71, 11,616.53 and 4,641.03 is: 6,404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.71 : 11,616.53 = 4,641.03 : x
  2. Step 2: Convert to fraction form
    8,417.71/11,616.53 = 4,641.03/x
  3. Step 3: Cross multiply
    8,417.71x = 11,616.53 × 4,641.03
  4. Step 4: Simplify right side
    8,417.71x = 53,912,621.40
  5. Step 5: Solve for x
    x = 53,912,621.40/8,417.71
  6. Step 6: Final answer
    x = 6,404.66

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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.