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Finding the Fourth Proportional to 7,239.82, 10,798.85 and 6,575.42

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Solution

The fourth proportional to 7,239.82, 10,798.85 and 6,575.42 is: 9,807.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,239.82 : 10,798.85 = 6,575.42 : x
  2. Step 2: Convert to fraction form
    7,239.82/10,798.85 = 6,575.42/x
  3. Step 3: Cross multiply
    7,239.82x = 10,798.85 × 6,575.42
  4. Step 4: Simplify right side
    7,239.82x = 71,006,974.27
  5. Step 5: Solve for x
    x = 71,006,974.27/7,239.82
  6. Step 6: Final answer
    x = 9,807.84

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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.