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Finding the Fourth Proportional to 10,772.84, 14,856.08 and 7,187.94

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Solution

The fourth proportional to 10,772.84, 14,856.08 and 7,187.94 is: 9,912.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.84 : 14,856.08 = 7,187.94 : x
  2. Step 2: Convert to fraction form
    10,772.84/14,856.08 = 7,187.94/x
  3. Step 3: Cross multiply
    10,772.84x = 14,856.08 × 7,187.94
  4. Step 4: Simplify right side
    10,772.84x = 106,784,637.73
  5. Step 5: Solve for x
    x = 106,784,637.73/10,772.84
  6. Step 6: Final answer
    x = 9,912.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.