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Finding the Fourth Proportional to 7,616.16, 10,509.58 and 4,258.50

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Solution

The fourth proportional to 7,616.16, 10,509.58 and 4,258.50 is: 5,876.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.16 : 10,509.58 = 4,258.50 : x
  2. Step 2: Convert to fraction form
    7,616.16/10,509.58 = 4,258.50/x
  3. Step 3: Cross multiply
    7,616.16x = 10,509.58 × 4,258.50
  4. Step 4: Simplify right side
    7,616.16x = 44,755,046.43
  5. Step 5: Solve for x
    x = 44,755,046.43/7,616.16
  6. Step 6: Final answer
    x = 5,876.33

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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.