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Finding the Fourth Proportional to 8,192.64, 11,305.17 and 4,607.40

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Solution

The fourth proportional to 8,192.64, 11,305.17 and 4,607.40 is: 6,357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.64 : 11,305.17 = 4,607.40 : x
  2. Step 2: Convert to fraction form
    8,192.64/11,305.17 = 4,607.40/x
  3. Step 3: Cross multiply
    8,192.64x = 11,305.17 × 4,607.40
  4. Step 4: Simplify right side
    8,192.64x = 52,087,440.26
  5. Step 5: Solve for x
    x = 52,087,440.26/8,192.64
  6. Step 6: Final answer
    x = 6,357.83

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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.