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Finding the Fourth Proportional to 10,343.85, 15,490.98 and 5,656.83

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Solution

The fourth proportional to 10,343.85, 15,490.98 and 5,656.83 is: 8,471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.85 : 15,490.98 = 5,656.83 : x
  2. Step 2: Convert to fraction form
    10,343.85/15,490.98 = 5,656.83/x
  3. Step 3: Cross multiply
    10,343.85x = 15,490.98 × 5,656.83
  4. Step 4: Simplify right side
    10,343.85x = 87,629,840.39
  5. Step 5: Solve for x
    x = 87,629,840.39/10,343.85
  6. Step 6: Final answer
    x = 8,471.69

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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.