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Finding the Fourth Proportional to 7,178.40, 10,767.60 and 6,643.80

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Solution

The fourth proportional to 7,178.40, 10,767.60 and 6,643.80 is: 9,965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.40 : 10,767.60 = 6,643.80 : x
  2. Step 2: Convert to fraction form
    7,178.40/10,767.60 = 6,643.80/x
  3. Step 3: Cross multiply
    7,178.40x = 10,767.60 × 6,643.80
  4. Step 4: Simplify right side
    7,178.40x = 71,537,780.88
  5. Step 5: Solve for x
    x = 71,537,780.88/7,178.40
  6. Step 6: Final answer
    x = 9,965.70

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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.