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Finding the Fourth Proportional to 8,826.36, 13,239.52 and 6,880

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Solution

The fourth proportional to 8,826.36, 13,239.52 and 6,880 is: 10,319.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,826.36 : 13,239.52 = 6,880 : x
  2. Step 2: Convert to fraction form
    8,826.36/13,239.52 = 6,880/x
  3. Step 3: Cross multiply
    8,826.36x = 13,239.52 × 6,880
  4. Step 4: Simplify right side
    8,826.36x = 91,087,897.60
  5. Step 5: Solve for x
    x = 91,087,897.60/8,826.36
  6. Step 6: Final answer
    x = 10,319.98

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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.