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Finding the Fourth Proportional to 7,380.16, 10,182.56 and 4,235.20

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Solution

The fourth proportional to 7,380.16, 10,182.56 and 4,235.20 is: 5,843.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,380.16 : 10,182.56 = 4,235.20 : x
  2. Step 2: Convert to fraction form
    7,380.16/10,182.56 = 4,235.20/x
  3. Step 3: Cross multiply
    7,380.16x = 10,182.56 × 4,235.20
  4. Step 4: Simplify right side
    7,380.16x = 43,125,178.11
  5. Step 5: Solve for x
    x = 43,125,178.11/7,380.16
  6. Step 6: Final answer
    x = 5,843.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.