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Finding the Fourth Proportional to 7,966.77, 10,991.07 and 5,133.93

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Solution

The fourth proportional to 7,966.77, 10,991.07 and 5,133.93 is: 7,082.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.77 : 10,991.07 = 5,133.93 : x
  2. Step 2: Convert to fraction form
    7,966.77/10,991.07 = 5,133.93/x
  3. Step 3: Cross multiply
    7,966.77x = 10,991.07 × 5,133.93
  4. Step 4: Simplify right side
    7,966.77x = 56,427,384.01
  5. Step 5: Solve for x
    x = 56,427,384.01/7,966.77
  6. Step 6: Final answer
    x = 7,082.84

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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.