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Finding the Fourth Proportional to 7,009.74, 10,499.53 and 3,306.42

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Solution

The fourth proportional to 7,009.74, 10,499.53 and 3,306.42 is: 4,952.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.74 : 10,499.53 = 3,306.42 : x
  2. Step 2: Convert to fraction form
    7,009.74/10,499.53 = 3,306.42/x
  3. Step 3: Cross multiply
    7,009.74x = 10,499.53 × 3,306.42
  4. Step 4: Simplify right side
    7,009.74x = 34,715,847.72
  5. Step 5: Solve for x
    x = 34,715,847.72/7,009.74
  6. Step 6: Final answer
    x = 4,952.52

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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.