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Finding the Fourth Proportional to 7,729.65, 11,594.48 and 2,798.15

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Solution

The fourth proportional to 7,729.65, 11,594.48 and 2,798.15 is: 4,197.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.65 : 11,594.48 = 2,798.15 : x
  2. Step 2: Convert to fraction form
    7,729.65/11,594.48 = 2,798.15/x
  3. Step 3: Cross multiply
    7,729.65x = 11,594.48 × 2,798.15
  4. Step 4: Simplify right side
    7,729.65x = 32,443,022.25
  5. Step 5: Solve for x
    x = 32,443,022.25/7,729.65
  6. Step 6: Final answer
    x = 4,197.22

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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.