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Finding the Fourth Proportional to 11,648, 17,479.68 and 5,492.48

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Solution

The fourth proportional to 11,648, 17,479.68 and 5,492.48 is: 8,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648 : 17,479.68 = 5,492.48 : x
  2. Step 2: Convert to fraction form
    11,648/17,479.68 = 5,492.48/x
  3. Step 3: Cross multiply
    11,648x = 17,479.68 × 5,492.48
  4. Step 4: Simplify right side
    11,648x = 96,006,792.81
  5. Step 5: Solve for x
    x = 96,006,792.81/11,648
  6. Step 6: Final answer
    x = 8,242.34

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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.