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Finding the Fourth Proportional to 8,156.30, 11,248.17 and 5,322.76

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Solution

The fourth proportional to 8,156.30, 11,248.17 and 5,322.76 is: 7,340.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.30 : 11,248.17 = 5,322.76 : x
  2. Step 2: Convert to fraction form
    8,156.30/11,248.17 = 5,322.76/x
  3. Step 3: Cross multiply
    8,156.30x = 11,248.17 × 5,322.76
  4. Step 4: Simplify right side
    8,156.30x = 59,871,324.54
  5. Step 5: Solve for x
    x = 59,871,324.54/8,156.30
  6. Step 6: Final answer
    x = 7,340.51

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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.