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Finding the Fourth Proportional to 7,863.46, 10,840.17 and 5,498.26

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Solution

The fourth proportional to 7,863.46, 10,840.17 and 5,498.26 is: 7,579.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.46 : 10,840.17 = 5,498.26 : x
  2. Step 2: Convert to fraction form
    7,863.46/10,840.17 = 5,498.26/x
  3. Step 3: Cross multiply
    7,863.46x = 10,840.17 × 5,498.26
  4. Step 4: Simplify right side
    7,863.46x = 59,602,073.10
  5. Step 5: Solve for x
    x = 59,602,073.10/7,863.46
  6. Step 6: Final answer
    x = 7,579.62

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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.