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Finding the Fourth Proportional to 7,042.85, 10,561.84 and 3,342.57

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Solution

The fourth proportional to 7,042.85, 10,561.84 and 3,342.57 is: 5,012.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.85 : 10,561.84 = 3,342.57 : x
  2. Step 2: Convert to fraction form
    7,042.85/10,561.84 = 3,342.57/x
  3. Step 3: Cross multiply
    7,042.85x = 10,561.84 × 3,342.57
  4. Step 4: Simplify right side
    7,042.85x = 35,303,689.53
  5. Step 5: Solve for x
    x = 35,303,689.53/7,042.85
  6. Step 6: Final answer
    x = 5,012.70

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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.