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Finding the Fourth Proportional to 11,427.32, 15,774.54 and 7,451.84

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Solution

The fourth proportional to 11,427.32, 15,774.54 and 7,451.84 is: 10,286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,427.32 : 15,774.54 = 7,451.84 : x
  2. Step 2: Convert to fraction form
    11,427.32/15,774.54 = 7,451.84/x
  3. Step 3: Cross multiply
    11,427.32x = 15,774.54 × 7,451.84
  4. Step 4: Simplify right side
    11,427.32x = 117,549,348.15
  5. Step 5: Solve for x
    x = 117,549,348.15/11,427.32
  6. Step 6: Final answer
    x = 10,286.69

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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.