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Finding the Fourth Proportional to 10,116.94, 13,957.72 and 5,865.66

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Solution

The fourth proportional to 10,116.94, 13,957.72 and 5,865.66 is: 8,092.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,116.94 : 13,957.72 = 5,865.66 : x
  2. Step 2: Convert to fraction form
    10,116.94/13,957.72 = 5,865.66/x
  3. Step 3: Cross multiply
    10,116.94x = 13,957.72 × 5,865.66
  4. Step 4: Simplify right side
    10,116.94x = 81,871,206.14
  5. Step 5: Solve for x
    x = 81,871,206.14/10,116.94
  6. Step 6: Final answer
    x = 8,092.49

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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.