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Finding the Fourth Proportional to 7,311.56, 10,970.16 and 2,932.08

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Solution

The fourth proportional to 7,311.56, 10,970.16 and 2,932.08 is: 4,399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.56 : 10,970.16 = 2,932.08 : x
  2. Step 2: Convert to fraction form
    7,311.56/10,970.16 = 2,932.08/x
  3. Step 3: Cross multiply
    7,311.56x = 10,970.16 × 2,932.08
  4. Step 4: Simplify right side
    7,311.56x = 32,165,386.73
  5. Step 5: Solve for x
    x = 32,165,386.73/7,311.56
  6. Step 6: Final answer
    x = 4,399.25

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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.