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Finding the Fourth Proportional to 7,832.46, 11,748.72 and 1,989.06

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Solution

The fourth proportional to 7,832.46, 11,748.72 and 1,989.06 is: 2,983.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.46 : 11,748.72 = 1,989.06 : x
  2. Step 2: Convert to fraction form
    7,832.46/11,748.72 = 1,989.06/x
  3. Step 3: Cross multiply
    7,832.46x = 11,748.72 × 1,989.06
  4. Step 4: Simplify right side
    7,832.46x = 23,368,909.00
  5. Step 5: Solve for x
    x = 23,368,909.00/7,832.46
  6. Step 6: Final answer
    x = 2,983.60

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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.