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Finding the Fourth Proportional to 7,655.76, 11,472.48 and 3,267

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Solution

The fourth proportional to 7,655.76, 11,472.48 and 3,267 is: 4,895.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.76 : 11,472.48 = 3,267 : x
  2. Step 2: Convert to fraction form
    7,655.76/11,472.48 = 3,267/x
  3. Step 3: Cross multiply
    7,655.76x = 11,472.48 × 3,267
  4. Step 4: Simplify right side
    7,655.76x = 37,480,592.16
  5. Step 5: Solve for x
    x = 37,480,592.16/7,655.76
  6. Step 6: Final answer
    x = 4,895.74

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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.