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Finding the Fourth Proportional to 7,812.92, 11,723.95 and 2,886

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Solution

The fourth proportional to 7,812.92, 11,723.95 and 2,886 is: 4,330.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.92 : 11,723.95 = 2,886 : x
  2. Step 2: Convert to fraction form
    7,812.92/11,723.95 = 2,886/x
  3. Step 3: Cross multiply
    7,812.92x = 11,723.95 × 2,886
  4. Step 4: Simplify right side
    7,812.92x = 33,835,319.70
  5. Step 5: Solve for x
    x = 33,835,319.70/7,812.92
  6. Step 6: Final answer
    x = 4,330.69

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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.