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Finding the Fourth Proportional to 7,387.62, 10,191.84 and 4,591.50

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Solution

The fourth proportional to 7,387.62, 10,191.84 and 4,591.50 is: 6,334.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,387.62 : 10,191.84 = 4,591.50 : x
  2. Step 2: Convert to fraction form
    7,387.62/10,191.84 = 4,591.50/x
  3. Step 3: Cross multiply
    7,387.62x = 10,191.84 × 4,591.50
  4. Step 4: Simplify right side
    7,387.62x = 46,795,833.36
  5. Step 5: Solve for x
    x = 46,795,833.36/7,387.62
  6. Step 6: Final answer
    x = 6,334.36

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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.