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Finding the Fourth Proportional to 10,866.06, 16,298.96 and 3,470.42

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Solution

The fourth proportional to 10,866.06, 16,298.96 and 3,470.42 is: 5,205.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.06 : 16,298.96 = 3,470.42 : x
  2. Step 2: Convert to fraction form
    10,866.06/16,298.96 = 3,470.42/x
  3. Step 3: Cross multiply
    10,866.06x = 16,298.96 × 3,470.42
  4. Step 4: Simplify right side
    10,866.06x = 56,564,236.76
  5. Step 5: Solve for x
    x = 56,564,236.76/10,866.06
  6. Step 6: Final answer
    x = 5,205.59

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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.