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Finding the Fourth Proportional to 8,352.72, 11,530.02 and 5,701.59

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Solution

The fourth proportional to 8,352.72, 11,530.02 and 5,701.59 is: 7,870.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.72 : 11,530.02 = 5,701.59 : x
  2. Step 2: Convert to fraction form
    8,352.72/11,530.02 = 5,701.59/x
  3. Step 3: Cross multiply
    8,352.72x = 11,530.02 × 5,701.59
  4. Step 4: Simplify right side
    8,352.72x = 65,739,446.73
  5. Step 5: Solve for x
    x = 65,739,446.73/8,352.72
  6. Step 6: Final answer
    x = 7,870.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.