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Finding the Fourth Proportional to 7,832.65, 11,746.62 and 2,284.50

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Solution

The fourth proportional to 7,832.65, 11,746.62 and 2,284.50 is: 3,426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.65 : 11,746.62 = 2,284.50 : x
  2. Step 2: Convert to fraction form
    7,832.65/11,746.62 = 2,284.50/x
  3. Step 3: Cross multiply
    7,832.65x = 11,746.62 × 2,284.50
  4. Step 4: Simplify right side
    7,832.65x = 26,835,197.44
  5. Step 5: Solve for x
    x = 26,835,197.44/7,832.65
  6. Step 6: Final answer
    x = 3,426.07

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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.