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Finding the Fourth Proportional to 8,220.16, 11,345.20 and 6,465.12

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Solution

The fourth proportional to 8,220.16, 11,345.20 and 6,465.12 is: 8,922.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.16 : 11,345.20 = 6,465.12 : x
  2. Step 2: Convert to fraction form
    8,220.16/11,345.20 = 6,465.12/x
  3. Step 3: Cross multiply
    8,220.16x = 11,345.20 × 6,465.12
  4. Step 4: Simplify right side
    8,220.16x = 73,348,079.42
  5. Step 5: Solve for x
    x = 73,348,079.42/8,220.16
  6. Step 6: Final answer
    x = 8,922.95

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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.