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Finding the Fourth Proportional to 7,086.58, 10,663.68 and 5,846.20

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Solution

The fourth proportional to 7,086.58, 10,663.68 and 5,846.20 is: 8,797.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.58 : 10,663.68 = 5,846.20 : x
  2. Step 2: Convert to fraction form
    7,086.58/10,663.68 = 5,846.20/x
  3. Step 3: Cross multiply
    7,086.58x = 10,663.68 × 5,846.20
  4. Step 4: Simplify right side
    7,086.58x = 62,342,006.02
  5. Step 5: Solve for x
    x = 62,342,006.02/7,086.58
  6. Step 6: Final answer
    x = 8,797.19

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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.