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Finding the Fourth Proportional to 11,348.68, 15,663.10 and 6,567.93

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Solution

The fourth proportional to 11,348.68, 15,663.10 and 6,567.93 is: 9,064.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,348.68 : 15,663.10 = 6,567.93 : x
  2. Step 2: Convert to fraction form
    11,348.68/15,663.10 = 6,567.93/x
  3. Step 3: Cross multiply
    11,348.68x = 15,663.10 × 6,567.93
  4. Step 4: Simplify right side
    11,348.68x = 102,874,144.38
  5. Step 5: Solve for x
    x = 102,874,144.38/11,348.68
  6. Step 6: Final answer
    x = 9,064.86

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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.