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Finding the Fourth Proportional to 12,003.94, 16,554.62 and 7,528.14

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Solution

The fourth proportional to 12,003.94, 16,554.62 and 7,528.14 is: 10,382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003.94 : 16,554.62 = 7,528.14 : x
  2. Step 2: Convert to fraction form
    12,003.94/16,554.62 = 7,528.14/x
  3. Step 3: Cross multiply
    12,003.94x = 16,554.62 × 7,528.14
  4. Step 4: Simplify right side
    12,003.94x = 124,625,497.01
  5. Step 5: Solve for x
    x = 124,625,497.01/12,003.94
  6. Step 6: Final answer
    x = 10,382.05

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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.