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Finding the Fourth Proportional to 7,832.12, 11,754.01 and 3,152.17

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Solution

The fourth proportional to 7,832.12, 11,754.01 and 3,152.17 is: 4,730.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.12 : 11,754.01 = 3,152.17 : x
  2. Step 2: Convert to fraction form
    7,832.12/11,754.01 = 3,152.17/x
  3. Step 3: Cross multiply
    7,832.12x = 11,754.01 × 3,152.17
  4. Step 4: Simplify right side
    7,832.12x = 37,050,599.08
  5. Step 5: Solve for x
    x = 37,050,599.08/7,832.12
  6. Step 6: Final answer
    x = 4,730.60

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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.