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Finding the Fourth Proportional to 10,886.70, 16,281.45 and 9,137.10

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Solution

The fourth proportional to 10,886.70, 16,281.45 and 9,137.10 is: 13,664.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,886.70 : 16,281.45 = 9,137.10 : x
  2. Step 2: Convert to fraction form
    10,886.70/16,281.45 = 9,137.10/x
  3. Step 3: Cross multiply
    10,886.70x = 16,281.45 × 9,137.10
  4. Step 4: Simplify right side
    10,886.70x = 148,765,236.80
  5. Step 5: Solve for x
    x = 148,765,236.80/10,886.70
  6. Step 6: Final answer
    x = 13,664.86

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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.