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Finding the Fourth Proportional to 7,393.14, 11,080.80 and 2,947.32

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Solution

The fourth proportional to 7,393.14, 11,080.80 and 2,947.32 is: 4,417.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,393.14 : 11,080.80 = 2,947.32 : x
  2. Step 2: Convert to fraction form
    7,393.14/11,080.80 = 2,947.32/x
  3. Step 3: Cross multiply
    7,393.14x = 11,080.80 × 2,947.32
  4. Step 4: Simplify right side
    7,393.14x = 32,658,663.46
  5. Step 5: Solve for x
    x = 32,658,663.46/7,393.14
  6. Step 6: Final answer
    x = 4,417.43

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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.