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Finding the Fourth Proportional to 8,083.36, 12,117.36 and 3,156.16

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Solution

The fourth proportional to 8,083.36, 12,117.36 and 3,156.16 is: 4,731.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.36 : 12,117.36 = 3,156.16 : x
  2. Step 2: Convert to fraction form
    8,083.36/12,117.36 = 3,156.16/x
  3. Step 3: Cross multiply
    8,083.36x = 12,117.36 × 3,156.16
  4. Step 4: Simplify right side
    8,083.36x = 38,244,326.94
  5. Step 5: Solve for x
    x = 38,244,326.94/8,083.36
  6. Step 6: Final answer
    x = 4,731.24

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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.