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Finding the Fourth Proportional to 7,616.10, 10,510.66 and 4,258.83

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Solution

The fourth proportional to 7,616.10, 10,510.66 and 4,258.83 is: 5,877.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.10 : 10,510.66 = 4,258.83 : x
  2. Step 2: Convert to fraction form
    7,616.10/10,510.66 = 4,258.83/x
  3. Step 3: Cross multiply
    7,616.10x = 10,510.66 × 4,258.83
  4. Step 4: Simplify right side
    7,616.10x = 44,763,099.74
  5. Step 5: Solve for x
    x = 44,763,099.74/7,616.10
  6. Step 6: Final answer
    x = 5,877.43

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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.