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Finding the Fourth Proportional to 10,197.84, 14,074 and 5,721.60

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Solution

The fourth proportional to 10,197.84, 14,074 and 5,721.60 is: 7,896.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.84 : 14,074 = 5,721.60 : x
  2. Step 2: Convert to fraction form
    10,197.84/14,074 = 5,721.60/x
  3. Step 3: Cross multiply
    10,197.84x = 14,074 × 5,721.60
  4. Step 4: Simplify right side
    10,197.84x = 80,525,798.40
  5. Step 5: Solve for x
    x = 80,525,798.40/10,197.84
  6. Step 6: Final answer
    x = 7,896.36

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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.