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Finding the Fourth Proportional to 7,731.70, 11,590.62 and 2,800.18

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Solution

The fourth proportional to 7,731.70, 11,590.62 and 2,800.18 is: 4,197.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.70 : 11,590.62 = 2,800.18 : x
  2. Step 2: Convert to fraction form
    7,731.70/11,590.62 = 2,800.18/x
  3. Step 3: Cross multiply
    7,731.70x = 11,590.62 × 2,800.18
  4. Step 4: Simplify right side
    7,731.70x = 32,455,822.31
  5. Step 5: Solve for x
    x = 32,455,822.31/7,731.70
  6. Step 6: Final answer
    x = 4,197.76

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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.