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Finding the Fourth Proportional to 7,427.62, 11,123.84 and 6,448.40

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Solution

The fourth proportional to 7,427.62, 11,123.84 and 6,448.40 is: 9,657.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.62 : 11,123.84 = 6,448.40 : x
  2. Step 2: Convert to fraction form
    7,427.62/11,123.84 = 6,448.40/x
  3. Step 3: Cross multiply
    7,427.62x = 11,123.84 × 6,448.40
  4. Step 4: Simplify right side
    7,427.62x = 71,730,969.86
  5. Step 5: Solve for x
    x = 71,730,969.86/7,427.62
  6. Step 6: Final answer
    x = 9,657.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.