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Finding the Fourth Proportional to 11,449.08, 15,794.34 and 7,468.68

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Solution

The fourth proportional to 11,449.08, 15,794.34 and 7,468.68 is: 10,303.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.08 : 15,794.34 = 7,468.68 : x
  2. Step 2: Convert to fraction form
    11,449.08/15,794.34 = 7,468.68/x
  3. Step 3: Cross multiply
    11,449.08x = 15,794.34 × 7,468.68
  4. Step 4: Simplify right side
    11,449.08x = 117,962,871.27
  5. Step 5: Solve for x
    x = 117,962,871.27/11,449.08
  6. Step 6: Final answer
    x = 10,303.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.