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Finding the Fourth Proportional to 11,374.14, 15,697.46 and 6,339.18

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Solution

The fourth proportional to 11,374.14, 15,697.46 and 6,339.18 is: 8,748.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,374.14 : 15,697.46 = 6,339.18 : x
  2. Step 2: Convert to fraction form
    11,374.14/15,697.46 = 6,339.18/x
  3. Step 3: Cross multiply
    11,374.14x = 15,697.46 × 6,339.18
  4. Step 4: Simplify right side
    11,374.14x = 99,509,040.33
  5. Step 5: Solve for x
    x = 99,509,040.33/11,374.14
  6. Step 6: Final answer
    x = 8,748.71

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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.