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Finding the Fourth Proportional to 7,786.66, 11,679.36 and 2,856.10

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Solution

The fourth proportional to 7,786.66, 11,679.36 and 2,856.10 is: 4,283.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.66 : 11,679.36 = 2,856.10 : x
  2. Step 2: Convert to fraction form
    7,786.66/11,679.36 = 2,856.10/x
  3. Step 3: Cross multiply
    7,786.66x = 11,679.36 × 2,856.10
  4. Step 4: Simplify right side
    7,786.66x = 33,357,420.10
  5. Step 5: Solve for x
    x = 33,357,420.10/7,786.66
  6. Step 6: Final answer
    x = 4,283.92

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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.