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Finding the Fourth Proportional to 11,484, 17,224.92 and 4,088.16

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Solution

The fourth proportional to 11,484, 17,224.92 and 4,088.16 is: 6,131.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484 : 17,224.92 = 4,088.16 : x
  2. Step 2: Convert to fraction form
    11,484/17,224.92 = 4,088.16/x
  3. Step 3: Cross multiply
    11,484x = 17,224.92 × 4,088.16
  4. Step 4: Simplify right side
    11,484x = 70,418,228.95
  5. Step 5: Solve for x
    x = 70,418,228.95/11,484
  6. Step 6: Final answer
    x = 6,131.86

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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.