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Finding the Fourth Proportional to 11,148, 15,387.09 and 7,568.95

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Solution

The fourth proportional to 11,148, 15,387.09 and 7,568.95 is: 10,447.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,148 : 15,387.09 = 7,568.95 : x
  2. Step 2: Convert to fraction form
    11,148/15,387.09 = 7,568.95/x
  3. Step 3: Cross multiply
    11,148x = 15,387.09 × 7,568.95
  4. Step 4: Simplify right side
    11,148x = 116,464,114.86
  5. Step 5: Solve for x
    x = 116,464,114.86/11,148
  6. Step 6: Final answer
    x = 10,447.09

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Why These Related Problems?

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