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Finding the Fourth Proportional to 7,337.37, 10,978.48 and 4,364.88

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Solution

The fourth proportional to 7,337.37, 10,978.48 and 4,364.88 is: 6,530.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,337.37 : 10,978.48 = 4,364.88 : x
  2. Step 2: Convert to fraction form
    7,337.37/10,978.48 = 4,364.88/x
  3. Step 3: Cross multiply
    7,337.37x = 10,978.48 × 4,364.88
  4. Step 4: Simplify right side
    7,337.37x = 47,919,747.78
  5. Step 5: Solve for x
    x = 47,919,747.78/7,337.37
  6. Step 6: Final answer
    x = 6,530.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.