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Finding the Fourth Proportional to 11,139.82, 15,374.98 and 6,424.10

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Solution

The fourth proportional to 11,139.82, 15,374.98 and 6,424.10 is: 8,866.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,139.82 : 15,374.98 = 6,424.10 : x
  2. Step 2: Convert to fraction form
    11,139.82/15,374.98 = 6,424.10/x
  3. Step 3: Cross multiply
    11,139.82x = 15,374.98 × 6,424.10
  4. Step 4: Simplify right side
    11,139.82x = 98,770,409.02
  5. Step 5: Solve for x
    x = 98,770,409.02/11,139.82
  6. Step 6: Final answer
    x = 8,866.43

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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.