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Finding the Fourth Proportional to 12,066.75, 16,652.16 and 7,875

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Solution

The fourth proportional to 12,066.75, 16,652.16 and 7,875 is: 10,867.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,066.75 : 16,652.16 = 7,875 : x
  2. Step 2: Convert to fraction form
    12,066.75/16,652.16 = 7,875/x
  3. Step 3: Cross multiply
    12,066.75x = 16,652.16 × 7,875
  4. Step 4: Simplify right side
    12,066.75x = 131,135,760
  5. Step 5: Solve for x
    x = 131,135,760/12,066.75
  6. Step 6: Final answer
    x = 10,867.53

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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.