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Finding the Fourth Proportional to 8,264.64, 11,409.66 and 6,372.08

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Solution

The fourth proportional to 8,264.64, 11,409.66 and 6,372.08 is: 8,796.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.64 : 11,409.66 = 6,372.08 : x
  2. Step 2: Convert to fraction form
    8,264.64/11,409.66 = 6,372.08/x
  3. Step 3: Cross multiply
    8,264.64x = 11,409.66 × 6,372.08
  4. Step 4: Simplify right side
    8,264.64x = 72,703,266.29
  5. Step 5: Solve for x
    x = 72,703,266.29/8,264.64
  6. Step 6: Final answer
    x = 8,796.91

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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.