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Finding the Fourth Proportional to 12,904.16, 17,807.45 and 7,161.62

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Solution

The fourth proportional to 12,904.16, 17,807.45 and 7,161.62 is: 9,882.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904.16 : 17,807.45 = 7,161.62 : x
  2. Step 2: Convert to fraction form
    12,904.16/17,807.45 = 7,161.62/x
  3. Step 3: Cross multiply
    12,904.16x = 17,807.45 × 7,161.62
  4. Step 4: Simplify right side
    12,904.16x = 127,530,065.22
  5. Step 5: Solve for x
    x = 127,530,065.22/12,904.16
  6. Step 6: Final answer
    x = 9,882.87

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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.