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Finding the Fourth Proportional to 10,043.91, 13,860.38 and 5,567.62

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Solution

The fourth proportional to 10,043.91, 13,860.38 and 5,567.62 is: 7,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,043.91 : 13,860.38 = 5,567.62 : x
  2. Step 2: Convert to fraction form
    10,043.91/13,860.38 = 5,567.62/x
  3. Step 3: Cross multiply
    10,043.91x = 13,860.38 × 5,567.62
  4. Step 4: Simplify right side
    10,043.91x = 77,169,301.06
  5. Step 5: Solve for x
    x = 77,169,301.06/10,043.91
  6. Step 6: Final answer
    x = 7,683.20

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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.