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Finding the Fourth Proportional to 8,009.98, 12,008.75 and 5,192.87

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Solution

The fourth proportional to 8,009.98, 12,008.75 and 5,192.87 is: 7,785.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.98 : 12,008.75 = 5,192.87 : x
  2. Step 2: Convert to fraction form
    8,009.98/12,008.75 = 5,192.87/x
  3. Step 3: Cross multiply
    8,009.98x = 12,008.75 × 5,192.87
  4. Step 4: Simplify right side
    8,009.98x = 62,359,877.61
  5. Step 5: Solve for x
    x = 62,359,877.61/8,009.98
  6. Step 6: Final answer
    x = 7,785.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.