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Finding the Fourth Proportional to 8,192.16, 12,281.28 and 3,812.16

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Solution

The fourth proportional to 8,192.16, 12,281.28 and 3,812.16 is: 5,715.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.16 : 12,281.28 = 3,812.16 : x
  2. Step 2: Convert to fraction form
    8,192.16/12,281.28 = 3,812.16/x
  3. Step 3: Cross multiply
    8,192.16x = 12,281.28 × 3,812.16
  4. Step 4: Simplify right side
    8,192.16x = 46,818,204.36
  5. Step 5: Solve for x
    x = 46,818,204.36/8,192.16
  6. Step 6: Final answer
    x = 5,715.00

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