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Finding the Fourth Proportional to 7,856.84, 11,785.25 and 2,310.23

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Solution

The fourth proportional to 7,856.84, 11,785.25 and 2,310.23 is: 3,465.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.84 : 11,785.25 = 2,310.23 : x
  2. Step 2: Convert to fraction form
    7,856.84/11,785.25 = 2,310.23/x
  3. Step 3: Cross multiply
    7,856.84x = 11,785.25 × 2,310.23
  4. Step 4: Simplify right side
    7,856.84x = 27,226,614.42
  5. Step 5: Solve for x
    x = 27,226,614.42/7,856.84
  6. Step 6: Final answer
    x = 3,465.34

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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.