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Finding the Fourth Proportional to 8,500.02, 11,701.31 and 7,005.57

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Solution

The fourth proportional to 8,500.02, 11,701.31 and 7,005.57 is: 9,644.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.02 : 11,701.31 = 7,005.57 : x
  2. Step 2: Convert to fraction form
    8,500.02/11,701.31 = 7,005.57/x
  3. Step 3: Cross multiply
    8,500.02x = 11,701.31 × 7,005.57
  4. Step 4: Simplify right side
    8,500.02x = 81,974,311.27
  5. Step 5: Solve for x
    x = 81,974,311.27/8,500.02
  6. Step 6: Final answer
    x = 9,644.01

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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.