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Finding the Fourth Proportional to 12,386.41, 17,092.11 and 7,349.76

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Solution

The fourth proportional to 12,386.41, 17,092.11 and 7,349.76 is: 10,142.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386.41 : 17,092.11 = 7,349.76 : x
  2. Step 2: Convert to fraction form
    12,386.41/17,092.11 = 7,349.76/x
  3. Step 3: Cross multiply
    12,386.41x = 17,092.11 × 7,349.76
  4. Step 4: Simplify right side
    12,386.41x = 125,622,933.96
  5. Step 5: Solve for x
    x = 125,622,933.96/12,386.41
  6. Step 6: Final answer
    x = 10,142.00

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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.