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Finding the Fourth Proportional to 8,390.74, 11,578.29 and 5,033.70

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Solution

The fourth proportional to 8,390.74, 11,578.29 and 5,033.70 is: 6,945.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.74 : 11,578.29 = 5,033.70 : x
  2. Step 2: Convert to fraction form
    8,390.74/11,578.29 = 5,033.70/x
  3. Step 3: Cross multiply
    8,390.74x = 11,578.29 × 5,033.70
  4. Step 4: Simplify right side
    8,390.74x = 58,281,580.48
  5. Step 5: Solve for x
    x = 58,281,580.48/8,390.74
  6. Step 6: Final answer
    x = 6,945.94

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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.