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Finding the Fourth Proportional to 7,574.10, 11,363.98 and 3,412.86

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Solution

The fourth proportional to 7,574.10, 11,363.98 and 3,412.86 is: 5,120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.10 : 11,363.98 = 3,412.86 : x
  2. Step 2: Convert to fraction form
    7,574.10/11,363.98 = 3,412.86/x
  3. Step 3: Cross multiply
    7,574.10x = 11,363.98 × 3,412.86
  4. Step 4: Simplify right side
    7,574.10x = 38,783,672.78
  5. Step 5: Solve for x
    x = 38,783,672.78/7,574.10
  6. Step 6: Final answer
    x = 5,120.57

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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.