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Finding the Fourth Proportional to 7,312.32, 10,977.12 and 3,856.32

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Solution

The fourth proportional to 7,312.32, 10,977.12 and 3,856.32 is: 5,789.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.32 : 10,977.12 = 3,856.32 : x
  2. Step 2: Convert to fraction form
    7,312.32/10,977.12 = 3,856.32/x
  3. Step 3: Cross multiply
    7,312.32x = 10,977.12 × 3,856.32
  4. Step 4: Simplify right side
    7,312.32x = 42,331,287.40
  5. Step 5: Solve for x
    x = 42,331,287.40/7,312.32
  6. Step 6: Final answer
    x = 5,789.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.