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Finding the Fourth Proportional to 7,045.96, 10,574.07 and 5,675.84

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Solution

The fourth proportional to 7,045.96, 10,574.07 and 5,675.84 is: 8,517.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,045.96 : 10,574.07 = 5,675.84 : x
  2. Step 2: Convert to fraction form
    7,045.96/10,574.07 = 5,675.84/x
  3. Step 3: Cross multiply
    7,045.96x = 10,574.07 × 5,675.84
  4. Step 4: Simplify right side
    7,045.96x = 60,016,733.23
  5. Step 5: Solve for x
    x = 60,016,733.23/7,045.96
  6. Step 6: Final answer
    x = 8,517.89

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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.