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Finding the Fourth Proportional to 7,646.40, 11,408.40 and 6,814.80

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Solution

The fourth proportional to 7,646.40, 11,408.40 and 6,814.80 is: 10,167.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.40 : 11,408.40 = 6,814.80 : x
  2. Step 2: Convert to fraction form
    7,646.40/11,408.40 = 6,814.80/x
  3. Step 3: Cross multiply
    7,646.40x = 11,408.40 × 6,814.80
  4. Step 4: Simplify right side
    7,646.40x = 77,745,964.32
  5. Step 5: Solve for x
    x = 77,745,964.32/7,646.40
  6. Step 6: Final answer
    x = 10,167.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.