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Finding the Fourth Proportional to 8,667.77, 11,957.29 and 5,309.51

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Solution

The fourth proportional to 8,667.77, 11,957.29 and 5,309.51 is: 7,324.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,667.77 : 11,957.29 = 5,309.51 : x
  2. Step 2: Convert to fraction form
    8,667.77/11,957.29 = 5,309.51/x
  3. Step 3: Cross multiply
    8,667.77x = 11,957.29 × 5,309.51
  4. Step 4: Simplify right side
    8,667.77x = 63,487,277.77
  5. Step 5: Solve for x
    x = 63,487,277.77/8,667.77
  6. Step 6: Final answer
    x = 7,324.53

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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.