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Finding the Fourth Proportional to 11,358.65, 15,676.82 and 6,642.02

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Solution

The fourth proportional to 11,358.65, 15,676.82 and 6,642.02 is: 9,167.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,358.65 : 15,676.82 = 6,642.02 : x
  2. Step 2: Convert to fraction form
    11,358.65/15,676.82 = 6,642.02/x
  3. Step 3: Cross multiply
    11,358.65x = 15,676.82 × 6,642.02
  4. Step 4: Simplify right side
    11,358.65x = 104,125,640.38
  5. Step 5: Solve for x
    x = 104,125,640.38/11,358.65
  6. Step 6: Final answer
    x = 9,167.08

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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.