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Finding the Fourth Proportional to 10,311.62, 14,221.25 and 6,950.02

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Solution

The fourth proportional to 10,311.62, 14,221.25 and 6,950.02 is: 9,585.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.62 : 14,221.25 = 6,950.02 : x
  2. Step 2: Convert to fraction form
    10,311.62/14,221.25 = 6,950.02/x
  3. Step 3: Cross multiply
    10,311.62x = 14,221.25 × 6,950.02
  4. Step 4: Simplify right side
    10,311.62x = 98,837,900.82
  5. Step 5: Solve for x
    x = 98,837,900.82/10,311.62
  6. Step 6: Final answer
    x = 9,585.10

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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.