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Finding the Fourth Proportional to 7,164.32, 10,746.52 and 3,266

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Solution

The fourth proportional to 7,164.32, 10,746.52 and 3,266 is: 4,899.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.32 : 10,746.52 = 3,266 : x
  2. Step 2: Convert to fraction form
    7,164.32/10,746.52 = 3,266/x
  3. Step 3: Cross multiply
    7,164.32x = 10,746.52 × 3,266
  4. Step 4: Simplify right side
    7,164.32x = 35,098,134.32
  5. Step 5: Solve for x
    x = 35,098,134.32/7,164.32
  6. Step 6: Final answer
    x = 4,899.02

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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.