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Finding the Fourth Proportional to 11,572.42, 15,969.90 and 6,536.39

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Solution

The fourth proportional to 11,572.42, 15,969.90 and 6,536.39 is: 9,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.42 : 15,969.90 = 6,536.39 : x
  2. Step 2: Convert to fraction form
    11,572.42/15,969.90 = 6,536.39/x
  3. Step 3: Cross multiply
    11,572.42x = 15,969.90 × 6,536.39
  4. Step 4: Simplify right side
    11,572.42x = 104,385,494.66
  5. Step 5: Solve for x
    x = 104,385,494.66/11,572.42
  6. Step 6: Final answer
    x = 9,020.20

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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.