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Finding the Fourth Proportional to 7,591.68, 11,368.48 and 4,809.92

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Solution

The fourth proportional to 7,591.68, 11,368.48 and 4,809.92 is: 7,202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591.68 : 11,368.48 = 4,809.92 : x
  2. Step 2: Convert to fraction form
    7,591.68/11,368.48 = 4,809.92/x
  3. Step 3: Cross multiply
    7,591.68x = 11,368.48 × 4,809.92
  4. Step 4: Simplify right side
    7,591.68x = 54,681,479.32
  5. Step 5: Solve for x
    x = 54,681,479.32/7,591.68
  6. Step 6: Final answer
    x = 7,202.82

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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.