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Finding the Fourth Proportional to 7,471.91, 10,311.14 and 4,328.39

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Solution

The fourth proportional to 7,471.91, 10,311.14 and 4,328.39 is: 5,973.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.91 : 10,311.14 = 4,328.39 : x
  2. Step 2: Convert to fraction form
    7,471.91/10,311.14 = 4,328.39/x
  3. Step 3: Cross multiply
    7,471.91x = 10,311.14 × 4,328.39
  4. Step 4: Simplify right side
    7,471.91x = 44,630,562.07
  5. Step 5: Solve for x
    x = 44,630,562.07/7,471.91
  6. Step 6: Final answer
    x = 5,973.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.