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Finding the Fourth Proportional to 12,616.16, 17,410 and 7,903.04

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Solution

The fourth proportional to 12,616.16, 17,410 and 7,903.04 is: 10,906.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.16 : 17,410 = 7,903.04 : x
  2. Step 2: Convert to fraction form
    12,616.16/17,410 = 7,903.04/x
  3. Step 3: Cross multiply
    12,616.16x = 17,410 × 7,903.04
  4. Step 4: Simplify right side
    12,616.16x = 137,591,926.40
  5. Step 5: Solve for x
    x = 137,591,926.40/12,616.16
  6. Step 6: Final answer
    x = 10,906.01

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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.