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Finding the Fourth Proportional to 7,713.77, 10,645.02 and 4,177.04

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Solution

The fourth proportional to 7,713.77, 10,645.02 and 4,177.04 is: 5,764.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.77 : 10,645.02 = 4,177.04 : x
  2. Step 2: Convert to fraction form
    7,713.77/10,645.02 = 4,177.04/x
  3. Step 3: Cross multiply
    7,713.77x = 10,645.02 × 4,177.04
  4. Step 4: Simplify right side
    7,713.77x = 44,464,621.12
  5. Step 5: Solve for x
    x = 44,464,621.12/7,713.77
  6. Step 6: Final answer
    x = 5,764.32

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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.