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Finding the Fourth Proportional to 11,398.38, 15,729.93 and 6,682.74

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Solution

The fourth proportional to 11,398.38, 15,729.93 and 6,682.74 is: 9,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.38 : 15,729.93 = 6,682.74 : x
  2. Step 2: Convert to fraction form
    11,398.38/15,729.93 = 6,682.74/x
  3. Step 3: Cross multiply
    11,398.38x = 15,729.93 × 6,682.74
  4. Step 4: Simplify right side
    11,398.38x = 105,119,032.41
  5. Step 5: Solve for x
    x = 105,119,032.41/11,398.38
  6. Step 6: Final answer
    x = 9,222.28

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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.