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Finding the Fourth Proportional to 12,066.84, 16,638.75 and 7,585.11

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Solution

The fourth proportional to 12,066.84, 16,638.75 and 7,585.11 is: 10,458.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,066.84 : 16,638.75 = 7,585.11 : x
  2. Step 2: Convert to fraction form
    12,066.84/16,638.75 = 7,585.11/x
  3. Step 3: Cross multiply
    12,066.84x = 16,638.75 × 7,585.11
  4. Step 4: Simplify right side
    12,066.84x = 126,206,749.01
  5. Step 5: Solve for x
    x = 126,206,749.01/12,066.84
  6. Step 6: Final answer
    x = 10,458.97

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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.