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Finding the Fourth Proportional to 11,560, 17,340.48 and 3,352

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Solution

The fourth proportional to 11,560, 17,340.48 and 3,352 is: 5,028.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,560 : 17,340.48 = 3,352 : x
  2. Step 2: Convert to fraction form
    11,560/17,340.48 = 3,352/x
  3. Step 3: Cross multiply
    11,560x = 17,340.48 × 3,352
  4. Step 4: Simplify right side
    11,560x = 58,125,288.96
  5. Step 5: Solve for x
    x = 58,125,288.96/11,560
  6. Step 6: Final answer
    x = 5,028.14

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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.