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Finding the Fourth Proportional to 7,519.70, 11,266.16 and 6,412.84

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Solution

The fourth proportional to 7,519.70, 11,266.16 and 6,412.84 is: 9,607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,519.70 : 11,266.16 = 6,412.84 : x
  2. Step 2: Convert to fraction form
    7,519.70/11,266.16 = 6,412.84/x
  3. Step 3: Cross multiply
    7,519.70x = 11,266.16 × 6,412.84
  4. Step 4: Simplify right side
    7,519.70x = 72,248,021.26
  5. Step 5: Solve for x
    x = 72,248,021.26/7,519.70
  6. Step 6: Final answer
    x = 9,607.83

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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.