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Finding the Fourth Proportional to 7,966.77, 10,991.93 and 4,778.07

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Solution

The fourth proportional to 7,966.77, 10,991.93 and 4,778.07 is: 6,592.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.77 : 10,991.93 = 4,778.07 : x
  2. Step 2: Convert to fraction form
    7,966.77/10,991.93 = 4,778.07/x
  3. Step 3: Cross multiply
    7,966.77x = 10,991.93 × 4,778.07
  4. Step 4: Simplify right side
    7,966.77x = 52,520,187.08
  5. Step 5: Solve for x
    x = 52,520,187.08/7,966.77
  6. Step 6: Final answer
    x = 6,592.41

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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.