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Finding the Fourth Proportional to 11,868.72, 16,379.16 and 6,564.02

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Solution

The fourth proportional to 11,868.72, 16,379.16 and 6,564.02 is: 9,058.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868.72 : 16,379.16 = 6,564.02 : x
  2. Step 2: Convert to fraction form
    11,868.72/16,379.16 = 6,564.02/x
  3. Step 3: Cross multiply
    11,868.72x = 16,379.16 × 6,564.02
  4. Step 4: Simplify right side
    11,868.72x = 107,513,133.82
  5. Step 5: Solve for x
    x = 107,513,133.82/11,868.72
  6. Step 6: Final answer
    x = 9,058.53

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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.