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Finding the Fourth Proportional to 8,218.34, 11,340.95 and 5,036.93

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Solution

The fourth proportional to 8,218.34, 11,340.95 and 5,036.93 is: 6,950.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.34 : 11,340.95 = 5,036.93 : x
  2. Step 2: Convert to fraction form
    8,218.34/11,340.95 = 5,036.93/x
  3. Step 3: Cross multiply
    8,218.34x = 11,340.95 × 5,036.93
  4. Step 4: Simplify right side
    8,218.34x = 57,123,489.39
  5. Step 5: Solve for x
    x = 57,123,489.39/8,218.34
  6. Step 6: Final answer
    x = 6,950.74

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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.