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Finding the Fourth Proportional to 10,973.31, 15,143.06 and 5,937.42

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Solution

The fourth proportional to 10,973.31, 15,143.06 and 5,937.42 is: 8,193.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.31 : 15,143.06 = 5,937.42 : x
  2. Step 2: Convert to fraction form
    10,973.31/15,143.06 = 5,937.42/x
  3. Step 3: Cross multiply
    10,973.31x = 15,143.06 × 5,937.42
  4. Step 4: Simplify right side
    10,973.31x = 89,910,699.88
  5. Step 5: Solve for x
    x = 89,910,699.88/10,973.31
  6. Step 6: Final answer
    x = 8,193.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.