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Finding the Fourth Proportional to 10,886.70, 16,337.80 and 4,314.31

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Solution

The fourth proportional to 10,886.70, 16,337.80 and 4,314.31 is: 6,474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,886.70 : 16,337.80 = 4,314.31 : x
  2. Step 2: Convert to fraction form
    10,886.70/16,337.80 = 4,314.31/x
  3. Step 3: Cross multiply
    10,886.70x = 16,337.80 × 4,314.31
  4. Step 4: Simplify right side
    10,886.70x = 70,486,390.37
  5. Step 5: Solve for x
    x = 70,486,390.37/10,886.70
  6. Step 6: Final answer
    x = 6,474.54

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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.