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Finding the Fourth Proportional to 10,886.40, 16,297.20 and 6,512.40

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Solution

The fourth proportional to 10,886.40, 16,297.20 and 6,512.40 is: 9,749.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,886.40 : 16,297.20 = 6,512.40 : x
  2. Step 2: Convert to fraction form
    10,886.40/16,297.20 = 6,512.40/x
  3. Step 3: Cross multiply
    10,886.40x = 16,297.20 × 6,512.40
  4. Step 4: Simplify right side
    10,886.40x = 106,133,885.28
  5. Step 5: Solve for x
    x = 106,133,885.28/10,886.40
  6. Step 6: Final answer
    x = 9,749.22

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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.