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Finding the Fourth Proportional to 11,808.05, 16,275.06 and 7,822.22

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Solution

The fourth proportional to 11,808.05, 16,275.06 and 7,822.22 is: 10,781.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.05 : 16,275.06 = 7,822.22 : x
  2. Step 2: Convert to fraction form
    11,808.05/16,275.06 = 7,822.22/x
  3. Step 3: Cross multiply
    11,808.05x = 16,275.06 × 7,822.22
  4. Step 4: Simplify right side
    11,808.05x = 127,307,018.46
  5. Step 5: Solve for x
    x = 127,307,018.46/11,808.05
  6. Step 6: Final answer
    x = 10,781.38

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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.