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Finding the Fourth Proportional to 10,456.98, 15,681.38 and 3,791.89

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Solution

The fourth proportional to 10,456.98, 15,681.38 and 3,791.89 is: 5,686.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.98 : 15,681.38 = 3,791.89 : x
  2. Step 2: Convert to fraction form
    10,456.98/15,681.38 = 3,791.89/x
  3. Step 3: Cross multiply
    10,456.98x = 15,681.38 × 3,791.89
  4. Step 4: Simplify right side
    10,456.98x = 59,462,049.05
  5. Step 5: Solve for x
    x = 59,462,049.05/10,456.98
  6. Step 6: Final answer
    x = 5,686.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.