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Finding the Fourth Proportional to 11,181.81, 15,437.64 and 7,408.17

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Solution

The fourth proportional to 11,181.81, 15,437.64 and 7,408.17 is: 10,227.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,181.81 : 15,437.64 = 7,408.17 : x
  2. Step 2: Convert to fraction form
    11,181.81/15,437.64 = 7,408.17/x
  3. Step 3: Cross multiply
    11,181.81x = 15,437.64 × 7,408.17
  4. Step 4: Simplify right side
    11,181.81x = 114,364,661.52
  5. Step 5: Solve for x
    x = 114,364,661.52/11,181.81
  6. Step 6: Final answer
    x = 10,227.74

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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.