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Finding the Fourth Proportional to 7,380.64, 10,182 and 4,859.52

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Solution

The fourth proportional to 7,380.64, 10,182 and 4,859.52 is: 6,703.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,380.64 : 10,182 = 4,859.52 : x
  2. Step 2: Convert to fraction form
    7,380.64/10,182 = 4,859.52/x
  3. Step 3: Cross multiply
    7,380.64x = 10,182 × 4,859.52
  4. Step 4: Simplify right side
    7,380.64x = 49,479,632.64
  5. Step 5: Solve for x
    x = 49,479,632.64/7,380.64
  6. Step 6: Final answer
    x = 6,703.98

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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.