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Finding the Fourth Proportional to 7,592.40, 11,383.65 and 6,814.80

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Solution

The fourth proportional to 7,592.40, 11,383.65 and 6,814.80 is: 10,217.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592.40 : 11,383.65 = 6,814.80 : x
  2. Step 2: Convert to fraction form
    7,592.40/11,383.65 = 6,814.80/x
  3. Step 3: Cross multiply
    7,592.40x = 11,383.65 × 6,814.80
  4. Step 4: Simplify right side
    7,592.40x = 77,577,298.02
  5. Step 5: Solve for x
    x = 77,577,298.02/7,592.40
  6. Step 6: Final answer
    x = 10,217.76

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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.