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Finding the Fourth Proportional to 8,972.53, 13,457.74 and 2,399.22

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Solution

The fourth proportional to 8,972.53, 13,457.74 and 2,399.22 is: 3,598.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.53 : 13,457.74 = 2,399.22 : x
  2. Step 2: Convert to fraction form
    8,972.53/13,457.74 = 2,399.22/x
  3. Step 3: Cross multiply
    8,972.53x = 13,457.74 × 2,399.22
  4. Step 4: Simplify right side
    8,972.53x = 32,288,078.96
  5. Step 5: Solve for x
    x = 32,288,078.96/8,972.53
  6. Step 6: Final answer
    x = 3,598.55

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Why These Related Problems?

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