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Finding the Fourth Proportional to 8,182.77, 12,270.51 and 2,985

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Solution

The fourth proportional to 8,182.77, 12,270.51 and 2,985 is: 4,476.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.77 : 12,270.51 = 2,985 : x
  2. Step 2: Convert to fraction form
    8,182.77/12,270.51 = 2,985/x
  3. Step 3: Cross multiply
    8,182.77x = 12,270.51 × 2,985
  4. Step 4: Simplify right side
    8,182.77x = 36,627,472.35
  5. Step 5: Solve for x
    x = 36,627,472.35/8,182.77
  6. Step 6: Final answer
    x = 4,476.17

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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.