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Finding the Fourth Proportional to 7,594.10, 11,385.67 and 5,122.74

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Solution

The fourth proportional to 7,594.10, 11,385.67 and 5,122.74 is: 7,680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594.10 : 11,385.67 = 5,122.74 : x
  2. Step 2: Convert to fraction form
    7,594.10/11,385.67 = 5,122.74/x
  3. Step 3: Cross multiply
    7,594.10x = 11,385.67 × 5,122.74
  4. Step 4: Simplify right side
    7,594.10x = 58,325,827.14
  5. Step 5: Solve for x
    x = 58,325,827.14/7,594.10
  6. Step 6: Final answer
    x = 7,680.41

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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.