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Finding the Fourth Proportional to 8,297.43, 11,411.22 and 6,598.86

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Solution

The fourth proportional to 8,297.43, 11,411.22 and 6,598.86 is: 9,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.43 : 11,411.22 = 6,598.86 : x
  2. Step 2: Convert to fraction form
    8,297.43/11,411.22 = 6,598.86/x
  3. Step 3: Cross multiply
    8,297.43x = 11,411.22 × 6,598.86
  4. Step 4: Simplify right side
    8,297.43x = 75,301,043.21
  5. Step 5: Solve for x
    x = 75,301,043.21/8,297.43
  6. Step 6: Final answer
    x = 9,075.22

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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.