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Finding the Fourth Proportional to 8,832.36, 13,174.12 and 8,220

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Solution

The fourth proportional to 8,832.36, 13,174.12 and 8,220 is: 12,260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832.36 : 13,174.12 = 8,220 : x
  2. Step 2: Convert to fraction form
    8,832.36/13,174.12 = 8,220/x
  3. Step 3: Cross multiply
    8,832.36x = 13,174.12 × 8,220
  4. Step 4: Simplify right side
    8,832.36x = 108,291,266.40
  5. Step 5: Solve for x
    x = 108,291,266.40/8,832.36
  6. Step 6: Final answer
    x = 12,260.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.