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Finding the Fourth Proportional to 11,567.85, 15,963.93 and 6,849.42

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Solution

The fourth proportional to 11,567.85, 15,963.93 and 6,849.42 is: 9,452.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.85 : 15,963.93 = 6,849.42 : x
  2. Step 2: Convert to fraction form
    11,567.85/15,963.93 = 6,849.42/x
  3. Step 3: Cross multiply
    11,567.85x = 15,963.93 × 6,849.42
  4. Step 4: Simplify right side
    11,567.85x = 109,343,661.42
  5. Step 5: Solve for x
    x = 109,343,661.42/11,567.85
  6. Step 6: Final answer
    x = 9,452.38

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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.