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Finding the Fourth Proportional to 10,892.98, 16,345.68 and 9,066.22

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Solution

The fourth proportional to 10,892.98, 16,345.68 and 9,066.22 is: 13,604.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.98 : 16,345.68 = 9,066.22 : x
  2. Step 2: Convert to fraction form
    10,892.98/16,345.68 = 9,066.22/x
  3. Step 3: Cross multiply
    10,892.98x = 16,345.68 × 9,066.22
  4. Step 4: Simplify right side
    10,892.98x = 148,193,530.93
  5. Step 5: Solve for x
    x = 148,193,530.93/10,892.98
  6. Step 6: Final answer
    x = 13,604.50

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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.