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Finding the Fourth Proportional to 10,701.77, 14,768.55 and 5,921.47

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Solution

The fourth proportional to 10,701.77, 14,768.55 and 5,921.47 is: 8,171.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.77 : 14,768.55 = 5,921.47 : x
  2. Step 2: Convert to fraction form
    10,701.77/14,768.55 = 5,921.47/x
  3. Step 3: Cross multiply
    10,701.77x = 14,768.55 × 5,921.47
  4. Step 4: Simplify right side
    10,701.77x = 87,451,525.77
  5. Step 5: Solve for x
    x = 87,451,525.77/10,701.77
  6. Step 6: Final answer
    x = 8,171.69

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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.