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Finding the Fourth Proportional to 8,192.04, 11,303.40 and 4,654.77

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Solution

The fourth proportional to 8,192.04, 11,303.40 and 4,654.77 is: 6,422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.04 : 11,303.40 = 4,654.77 : x
  2. Step 2: Convert to fraction form
    8,192.04/11,303.40 = 4,654.77/x
  3. Step 3: Cross multiply
    8,192.04x = 11,303.40 × 4,654.77
  4. Step 4: Simplify right side
    8,192.04x = 52,614,727.22
  5. Step 5: Solve for x
    x = 52,614,727.22/8,192.04
  6. Step 6: Final answer
    x = 6,422.66

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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.