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Finding the Fourth Proportional to 10,133.94, 13,987.77 and 5,885.97

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Solution

The fourth proportional to 10,133.94, 13,987.77 and 5,885.97 is: 8,124.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.94 : 13,987.77 = 5,885.97 : x
  2. Step 2: Convert to fraction form
    10,133.94/13,987.77 = 5,885.97/x
  3. Step 3: Cross multiply
    10,133.94x = 13,987.77 × 5,885.97
  4. Step 4: Simplify right side
    10,133.94x = 82,331,594.59
  5. Step 5: Solve for x
    x = 82,331,594.59/10,133.94
  6. Step 6: Final answer
    x = 8,124.34

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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.