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Finding the Fourth Proportional to 7,951.10, 11,920.44 and 5,023.28

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Solution

The fourth proportional to 7,951.10, 11,920.44 and 5,023.28 is: 7,531.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.10 : 11,920.44 = 5,023.28 : x
  2. Step 2: Convert to fraction form
    7,951.10/11,920.44 = 5,023.28/x
  3. Step 3: Cross multiply
    7,951.10x = 11,920.44 × 5,023.28
  4. Step 4: Simplify right side
    7,951.10x = 59,879,707.84
  5. Step 5: Solve for x
    x = 59,879,707.84/7,951.10
  6. Step 6: Final answer
    x = 7,531.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.