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Finding the Fourth Proportional to 8,391.77, 11,580.41 and 4,614.94

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Solution

The fourth proportional to 8,391.77, 11,580.41 and 4,614.94 is: 6,368.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,391.77 : 11,580.41 = 4,614.94 : x
  2. Step 2: Convert to fraction form
    8,391.77/11,580.41 = 4,614.94/x
  3. Step 3: Cross multiply
    8,391.77x = 11,580.41 × 4,614.94
  4. Step 4: Simplify right side
    8,391.77x = 53,442,897.33
  5. Step 5: Solve for x
    x = 53,442,897.33/8,391.77
  6. Step 6: Final answer
    x = 6,368.49

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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.