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Finding the Fourth Proportional to 8,371.98, 11,534.32 and 6,477.04

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Solution

The fourth proportional to 8,371.98, 11,534.32 and 6,477.04 is: 8,923.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.98 : 11,534.32 = 6,477.04 : x
  2. Step 2: Convert to fraction form
    8,371.98/11,534.32 = 6,477.04/x
  3. Step 3: Cross multiply
    8,371.98x = 11,534.32 × 6,477.04
  4. Step 4: Simplify right side
    8,371.98x = 74,708,252.01
  5. Step 5: Solve for x
    x = 74,708,252.01/8,371.98
  6. Step 6: Final answer
    x = 8,923.61

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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.