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Finding the Fourth Proportional to 7,551.67, 11,323.17 and 3,165.43

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Solution

The fourth proportional to 7,551.67, 11,323.17 and 3,165.43 is: 4,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551.67 : 11,323.17 = 3,165.43 : x
  2. Step 2: Convert to fraction form
    7,551.67/11,323.17 = 3,165.43/x
  3. Step 3: Cross multiply
    7,551.67x = 11,323.17 × 3,165.43
  4. Step 4: Simplify right side
    7,551.67x = 35,842,702.01
  5. Step 5: Solve for x
    x = 35,842,702.01/7,551.67
  6. Step 6: Final answer
    x = 4,746.33

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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.