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Finding the Fourth Proportional to 7,727.96, 11,590.38 and 4,946.22

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Solution

The fourth proportional to 7,727.96, 11,590.38 and 4,946.22 is: 7,418.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.96 : 11,590.38 = 4,946.22 : x
  2. Step 2: Convert to fraction form
    7,727.96/11,590.38 = 4,946.22/x
  3. Step 3: Cross multiply
    7,727.96x = 11,590.38 × 4,946.22
  4. Step 4: Simplify right side
    7,727.96x = 57,328,569.36
  5. Step 5: Solve for x
    x = 57,328,569.36/7,727.96
  6. Step 6: Final answer
    x = 7,418.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.