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Finding the Fourth Proportional to 10,287.68, 14,196.98 and 5,571.95

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Solution

The fourth proportional to 10,287.68, 14,196.98 and 5,571.95 is: 7,689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.68 : 14,196.98 = 5,571.95 : x
  2. Step 2: Convert to fraction form
    10,287.68/14,196.98 = 5,571.95/x
  3. Step 3: Cross multiply
    10,287.68x = 14,196.98 × 5,571.95
  4. Step 4: Simplify right side
    10,287.68x = 79,104,834.85
  5. Step 5: Solve for x
    x = 79,104,834.85/10,287.68
  6. Step 6: Final answer
    x = 7,689.28

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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.