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Finding the Fourth Proportional to 7,835.78, 11,752.50 and 2,287.64

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Solution

The fourth proportional to 7,835.78, 11,752.50 and 2,287.64 is: 3,431.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.78 : 11,752.50 = 2,287.64 : x
  2. Step 2: Convert to fraction form
    7,835.78/11,752.50 = 2,287.64/x
  3. Step 3: Cross multiply
    7,835.78x = 11,752.50 × 2,287.64
  4. Step 4: Simplify right side
    7,835.78x = 26,885,489.10
  5. Step 5: Solve for x
    x = 26,885,489.10/7,835.78
  6. Step 6: Final answer
    x = 3,431.12

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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.