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Finding the Fourth Proportional to 7,593.80, 11,412.30 and 6,643.40

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Solution

The fourth proportional to 7,593.80, 11,412.30 and 6,643.40 is: 9,984.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,593.80 : 11,412.30 = 6,643.40 : x
  2. Step 2: Convert to fraction form
    7,593.80/11,412.30 = 6,643.40/x
  3. Step 3: Cross multiply
    7,593.80x = 11,412.30 × 6,643.40
  4. Step 4: Simplify right side
    7,593.80x = 75,816,473.82
  5. Step 5: Solve for x
    x = 75,816,473.82/7,593.80
  6. Step 6: Final answer
    x = 9,984.00

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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.