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Finding the Fourth Proportional to 6,956.18, 10,416.17 and 5,843.04

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Solution

The fourth proportional to 6,956.18, 10,416.17 and 5,843.04 is: 8,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.18 : 10,416.17 = 5,843.04 : x
  2. Step 2: Convert to fraction form
    6,956.18/10,416.17 = 5,843.04/x
  3. Step 3: Cross multiply
    6,956.18x = 10,416.17 × 5,843.04
  4. Step 4: Simplify right side
    6,956.18x = 60,862,068.74
  5. Step 5: Solve for x
    x = 60,862,068.74/6,956.18
  6. Step 6: Final answer
    x = 8,749.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.