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Finding the Fourth Proportional to 8,393.76, 11,583.41 and 4,617.32

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Solution

The fourth proportional to 8,393.76, 11,583.41 and 4,617.32 is: 6,371.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,393.76 : 11,583.41 = 4,617.32 : x
  2. Step 2: Convert to fraction form
    8,393.76/11,583.41 = 4,617.32/x
  3. Step 3: Cross multiply
    8,393.76x = 11,583.41 × 4,617.32
  4. Step 4: Simplify right side
    8,393.76x = 53,484,264.29
  5. Step 5: Solve for x
    x = 53,484,264.29/8,393.76
  6. Step 6: Final answer
    x = 6,371.91

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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.