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Finding the Fourth Proportional to 10,765.92, 14,855.52 and 6,290.40

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Solution

The fourth proportional to 10,765.92, 14,855.52 and 6,290.40 is: 8,679.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.92 : 14,855.52 = 6,290.40 : x
  2. Step 2: Convert to fraction form
    10,765.92/14,855.52 = 6,290.40/x
  3. Step 3: Cross multiply
    10,765.92x = 14,855.52 × 6,290.40
  4. Step 4: Simplify right side
    10,765.92x = 93,447,163.01
  5. Step 5: Solve for x
    x = 93,447,163.01/10,765.92
  6. Step 6: Final answer
    x = 8,679.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.