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Finding the Fourth Proportional to 8,417.78, 11,616.08 and 4,640.95

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Solution

The fourth proportional to 8,417.78, 11,616.08 and 4,640.95 is: 6,404.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.78 : 11,616.08 = 4,640.95 : x
  2. Step 2: Convert to fraction form
    8,417.78/11,616.08 = 4,640.95/x
  3. Step 3: Cross multiply
    8,417.78x = 11,616.08 × 4,640.95
  4. Step 4: Simplify right side
    8,417.78x = 53,909,565.19
  5. Step 5: Solve for x
    x = 53,909,565.19/8,417.78
  6. Step 6: Final answer
    x = 6,404.25

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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.