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Finding the Fourth Proportional to 7,774.20, 10,727.74 and 4,371.02

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Solution

The fourth proportional to 7,774.20, 10,727.74 and 4,371.02 is: 6,031.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.20 : 10,727.74 = 4,371.02 : x
  2. Step 2: Convert to fraction form
    7,774.20/10,727.74 = 4,371.02/x
  3. Step 3: Cross multiply
    7,774.20x = 10,727.74 × 4,371.02
  4. Step 4: Simplify right side
    7,774.20x = 46,891,166.09
  5. Step 5: Solve for x
    x = 46,891,166.09/7,774.20
  6. Step 6: Final answer
    x = 6,031.64

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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.