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Finding the Fourth Proportional to 10,266.80, 14,163.14 and 6,488.16

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Solution

The fourth proportional to 10,266.80, 14,163.14 and 6,488.16 is: 8,950.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.80 : 14,163.14 = 6,488.16 : x
  2. Step 2: Convert to fraction form
    10,266.80/14,163.14 = 6,488.16/x
  3. Step 3: Cross multiply
    10,266.80x = 14,163.14 × 6,488.16
  4. Step 4: Simplify right side
    10,266.80x = 91,892,718.42
  5. Step 5: Solve for x
    x = 91,892,718.42/10,266.80
  6. Step 6: Final answer
    x = 8,950.47

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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.