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Finding the Fourth Proportional to 7,616.43, 10,509.95 and 4,258.78

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Solution

The fourth proportional to 7,616.43, 10,509.95 and 4,258.78 is: 5,876.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.43 : 10,509.95 = 4,258.78 : x
  2. Step 2: Convert to fraction form
    7,616.43/10,509.95 = 4,258.78/x
  3. Step 3: Cross multiply
    7,616.43x = 10,509.95 × 4,258.78
  4. Step 4: Simplify right side
    7,616.43x = 44,759,549.23
  5. Step 5: Solve for x
    x = 44,759,549.23/7,616.43
  6. Step 6: Final answer
    x = 5,876.71

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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.