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Finding the Fourth Proportional to 11,149, 15,388.02 and 6,673.75

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Solution

The fourth proportional to 11,149, 15,388.02 and 6,673.75 is: 9,211.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,149 : 15,388.02 = 6,673.75 : x
  2. Step 2: Convert to fraction form
    11,149/15,388.02 = 6,673.75/x
  3. Step 3: Cross multiply
    11,149x = 15,388.02 × 6,673.75
  4. Step 4: Simplify right side
    11,149x = 102,695,798.48
  5. Step 5: Solve for x
    x = 102,695,798.48/11,149
  6. Step 6: Final answer
    x = 9,211.21

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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.