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Finding the Fourth Proportional to 7,296.32, 10,947.72 and 3,400.40

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Solution

The fourth proportional to 7,296.32, 10,947.72 and 3,400.40 is: 5,102.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,296.32 : 10,947.72 = 3,400.40 : x
  2. Step 2: Convert to fraction form
    7,296.32/10,947.72 = 3,400.40/x
  3. Step 3: Cross multiply
    7,296.32x = 10,947.72 × 3,400.40
  4. Step 4: Simplify right side
    7,296.32x = 37,226,627.09
  5. Step 5: Solve for x
    x = 37,226,627.09/7,296.32
  6. Step 6: Final answer
    x = 5,102.11

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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.