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Finding the Fourth Proportional to 11,477.28, 17,193.12 and 7,569.84

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Solution

The fourth proportional to 11,477.28, 17,193.12 and 7,569.84 is: 11,339.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.28 : 17,193.12 = 7,569.84 : x
  2. Step 2: Convert to fraction form
    11,477.28/17,193.12 = 7,569.84/x
  3. Step 3: Cross multiply
    11,477.28x = 17,193.12 × 7,569.84
  4. Step 4: Simplify right side
    11,477.28x = 130,149,167.50
  5. Step 5: Solve for x
    x = 130,149,167.50/11,477.28
  6. Step 6: Final answer
    x = 11,339.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.