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Finding the Fourth Proportional to 10,262.53, 14,156.82 and 6,899.57

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Solution

The fourth proportional to 10,262.53, 14,156.82 and 6,899.57 is: 9,517.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262.53 : 14,156.82 = 6,899.57 : x
  2. Step 2: Convert to fraction form
    10,262.53/14,156.82 = 6,899.57/x
  3. Step 3: Cross multiply
    10,262.53x = 14,156.82 × 6,899.57
  4. Step 4: Simplify right side
    10,262.53x = 97,675,952.87
  5. Step 5: Solve for x
    x = 97,675,952.87/10,262.53
  6. Step 6: Final answer
    x = 9,517.73

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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.