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Finding the Fourth Proportional to 8,472.67, 11,696.71 and 6,580.01

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Solution

The fourth proportional to 8,472.67, 11,696.71 and 6,580.01 is: 9,083.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.67 : 11,696.71 = 6,580.01 : x
  2. Step 2: Convert to fraction form
    8,472.67/11,696.71 = 6,580.01/x
  3. Step 3: Cross multiply
    8,472.67x = 11,696.71 × 6,580.01
  4. Step 4: Simplify right side
    8,472.67x = 76,964,468.77
  5. Step 5: Solve for x
    x = 76,964,468.77/8,472.67
  6. Step 6: Final answer
    x = 9,083.85

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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.