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Finding the Fourth Proportional to 10,856.67, 16,285.14 and 3,461.10

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Solution

The fourth proportional to 10,856.67, 16,285.14 and 3,461.10 is: 5,191.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.67 : 16,285.14 = 3,461.10 : x
  2. Step 2: Convert to fraction form
    10,856.67/16,285.14 = 3,461.10/x
  3. Step 3: Cross multiply
    10,856.67x = 16,285.14 × 3,461.10
  4. Step 4: Simplify right side
    10,856.67x = 56,364,498.05
  5. Step 5: Solve for x
    x = 56,364,498.05/10,856.67
  6. Step 6: Final answer
    x = 5,191.69

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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.