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Finding the Fourth Proportional to 6,712.95, 10,066.17 and 2,032.08

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Solution

The fourth proportional to 6,712.95, 10,066.17 and 2,032.08 is: 3,047.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.95 : 10,066.17 = 2,032.08 : x
  2. Step 2: Convert to fraction form
    6,712.95/10,066.17 = 2,032.08/x
  3. Step 3: Cross multiply
    6,712.95x = 10,066.17 × 2,032.08
  4. Step 4: Simplify right side
    6,712.95x = 20,455,262.73
  5. Step 5: Solve for x
    x = 20,455,262.73/6,712.95
  6. Step 6: Final answer
    x = 3,047.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.