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Finding the Fourth Proportional to 7,727.10, 11,590.65 and 7,424.70

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Solution

The fourth proportional to 7,727.10, 11,590.65 and 7,424.70 is: 11,137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.10 : 11,590.65 = 7,424.70 : x
  2. Step 2: Convert to fraction form
    7,727.10/11,590.65 = 7,424.70/x
  3. Step 3: Cross multiply
    7,727.10x = 11,590.65 × 7,424.70
  4. Step 4: Simplify right side
    7,727.10x = 86,057,099.06
  5. Step 5: Solve for x
    x = 86,057,099.06/7,727.10
  6. Step 6: Final answer
    x = 11,137.05

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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.