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Finding the Fourth Proportional to 8,098.73, 11,178.30 and 4,564.00

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Solution

The fourth proportional to 8,098.73, 11,178.30 and 4,564.00 is: 6,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.73 : 11,178.30 = 4,564.00 : x
  2. Step 2: Convert to fraction form
    8,098.73/11,178.30 = 4,564.00/x
  3. Step 3: Cross multiply
    8,098.73x = 11,178.30 × 4,564.00
  4. Step 4: Simplify right side
    8,098.73x = 51,017,729.41
  5. Step 5: Solve for x
    x = 51,017,729.41/8,098.73
  6. Step 6: Final answer
    x = 6,299.47

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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.