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Finding the Fourth Proportional to 8,417.75, 11,616.57 and 4,641.05

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Solution

The fourth proportional to 8,417.75, 11,616.57 and 4,641.05 is: 6,404.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.75 : 11,616.57 = 4,641.05 : x
  2. Step 2: Convert to fraction form
    8,417.75/11,616.57 = 4,641.05/x
  3. Step 3: Cross multiply
    8,417.75x = 11,616.57 × 4,641.05
  4. Step 4: Simplify right side
    8,417.75x = 53,913,064.76
  5. Step 5: Solve for x
    x = 53,913,064.76/8,417.75
  6. Step 6: Final answer
    x = 6,404.69

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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.