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Finding the Fourth Proportional to 7,773.36, 10,727.52 and 4,416.74

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Solution

The fourth proportional to 7,773.36, 10,727.52 and 4,416.74 is: 6,095.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.36 : 10,727.52 = 4,416.74 : x
  2. Step 2: Convert to fraction form
    7,773.36/10,727.52 = 4,416.74/x
  3. Step 3: Cross multiply
    7,773.36x = 10,727.52 × 4,416.74
  4. Step 4: Simplify right side
    7,773.36x = 47,380,666.68
  5. Step 5: Solve for x
    x = 47,380,666.68/7,773.36
  6. Step 6: Final answer
    x = 6,095.27

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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.