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Finding the Fourth Proportional to 10,856.95, 16,288.17 and 3,065.77

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Solution

The fourth proportional to 10,856.95, 16,288.17 and 3,065.77 is: 4,599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.95 : 16,288.17 = 3,065.77 : x
  2. Step 2: Convert to fraction form
    10,856.95/16,288.17 = 3,065.77/x
  3. Step 3: Cross multiply
    10,856.95x = 16,288.17 × 3,065.77
  4. Step 4: Simplify right side
    10,856.95x = 49,935,717.43
  5. Step 5: Solve for x
    x = 49,935,717.43/10,856.95
  6. Step 6: Final answer
    x = 4,599.42

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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.