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Finding the Fourth Proportional to 11,876.13, 16,387.63 and 6,570.22

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Solution

The fourth proportional to 11,876.13, 16,387.63 and 6,570.22 is: 9,066.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.13 : 16,387.63 = 6,570.22 : x
  2. Step 2: Convert to fraction form
    11,876.13/16,387.63 = 6,570.22/x
  3. Step 3: Cross multiply
    11,876.13x = 16,387.63 × 6,570.22
  4. Step 4: Simplify right side
    11,876.13x = 107,670,334.38
  5. Step 5: Solve for x
    x = 107,670,334.38/11,876.13
  6. Step 6: Final answer
    x = 9,066.11

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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.