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Finding the Fourth Proportional to 11,333.39, 15,642.31 and 7,242.58

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Solution

The fourth proportional to 11,333.39, 15,642.31 and 7,242.58 is: 9,996.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,333.39 : 15,642.31 = 7,242.58 : x
  2. Step 2: Convert to fraction form
    11,333.39/15,642.31 = 7,242.58/x
  3. Step 3: Cross multiply
    11,333.39x = 15,642.31 × 7,242.58
  4. Step 4: Simplify right side
    11,333.39x = 113,290,681.56
  5. Step 5: Solve for x
    x = 113,290,681.56/11,333.39
  6. Step 6: Final answer
    x = 9,996.19

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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.