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Finding the Fourth Proportional to 10,192.84, 14,069.16 and 6,215.92

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Solution

The fourth proportional to 10,192.84, 14,069.16 and 6,215.92 is: 8,579.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192.84 : 14,069.16 = 6,215.92 : x
  2. Step 2: Convert to fraction form
    10,192.84/14,069.16 = 6,215.92/x
  3. Step 3: Cross multiply
    10,192.84x = 14,069.16 × 6,215.92
  4. Step 4: Simplify right side
    10,192.84x = 87,452,737.85
  5. Step 5: Solve for x
    x = 87,452,737.85/10,192.84
  6. Step 6: Final answer
    x = 8,579.82

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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.