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Finding the Fourth Proportional to 7,423.52, 10,244.16 and 4,438.77

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Solution

The fourth proportional to 7,423.52, 10,244.16 and 4,438.77 is: 6,125.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,423.52 : 10,244.16 = 4,438.77 : x
  2. Step 2: Convert to fraction form
    7,423.52/10,244.16 = 4,438.77/x
  3. Step 3: Cross multiply
    7,423.52x = 10,244.16 × 4,438.77
  4. Step 4: Simplify right side
    7,423.52x = 45,471,453.44
  5. Step 5: Solve for x
    x = 45,471,453.44/7,423.52
  6. Step 6: Final answer
    x = 6,125.32

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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.