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Finding the Fourth Proportional to 12,011.36, 16,568.78 and 7,228

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Solution

The fourth proportional to 12,011.36, 16,568.78 and 7,228 is: 9,970.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.36 : 16,568.78 = 7,228 : x
  2. Step 2: Convert to fraction form
    12,011.36/16,568.78 = 7,228/x
  3. Step 3: Cross multiply
    12,011.36x = 16,568.78 × 7,228
  4. Step 4: Simplify right side
    12,011.36x = 119,759,141.84
  5. Step 5: Solve for x
    x = 119,759,141.84/12,011.36
  6. Step 6: Final answer
    x = 9,970.49

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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.