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Finding the Fourth Proportional to 7,588.42, 10,471.80 and 4,231.15

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Solution

The fourth proportional to 7,588.42, 10,471.80 and 4,231.15 is: 5,838.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.42 : 10,471.80 = 4,231.15 : x
  2. Step 2: Convert to fraction form
    7,588.42/10,471.80 = 4,231.15/x
  3. Step 3: Cross multiply
    7,588.42x = 10,471.80 × 4,231.15
  4. Step 4: Simplify right side
    7,588.42x = 44,307,756.57
  5. Step 5: Solve for x
    x = 44,307,756.57/7,588.42
  6. Step 6: Final answer
    x = 5,838.86

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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.