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Finding the Fourth Proportional to 8,235.56, 12,338.88 and 6,857.76

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Solution

The fourth proportional to 8,235.56, 12,338.88 and 6,857.76 is: 10,274.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.56 : 12,338.88 = 6,857.76 : x
  2. Step 2: Convert to fraction form
    8,235.56/12,338.88 = 6,857.76/x
  3. Step 3: Cross multiply
    8,235.56x = 12,338.88 × 6,857.76
  4. Step 4: Simplify right side
    8,235.56x = 84,617,077.71
  5. Step 5: Solve for x
    x = 84,617,077.71/8,235.56
  6. Step 6: Final answer
    x = 10,274.60

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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.