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Finding the Fourth Proportional to 8,489.21, 11,706.95 and 6,598.09

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Solution

The fourth proportional to 8,489.21, 11,706.95 and 6,598.09 is: 9,099.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.21 : 11,706.95 = 6,598.09 : x
  2. Step 2: Convert to fraction form
    8,489.21/11,706.95 = 6,598.09/x
  3. Step 3: Cross multiply
    8,489.21x = 11,706.95 × 6,598.09
  4. Step 4: Simplify right side
    8,489.21x = 77,243,418.20
  5. Step 5: Solve for x
    x = 77,243,418.20/8,489.21
  6. Step 6: Final answer
    x = 9,099.01

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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.