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Finding the Fourth Proportional to 7,188.49, 10,784.36 and 2,191.31

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Solution

The fourth proportional to 7,188.49, 10,784.36 and 2,191.31 is: 3,287.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.49 : 10,784.36 = 2,191.31 : x
  2. Step 2: Convert to fraction form
    7,188.49/10,784.36 = 2,191.31/x
  3. Step 3: Cross multiply
    7,188.49x = 10,784.36 × 2,191.31
  4. Step 4: Simplify right side
    7,188.49x = 23,631,875.91
  5. Step 5: Solve for x
    x = 23,631,875.91/7,188.49
  6. Step 6: Final answer
    x = 3,287.46

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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.