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Finding the Fourth Proportional to 11,701.76, 17,556.06 and 3,916.04

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Solution

The fourth proportional to 11,701.76, 17,556.06 and 3,916.04 is: 5,875.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.76 : 17,556.06 = 3,916.04 : x
  2. Step 2: Convert to fraction form
    11,701.76/17,556.06 = 3,916.04/x
  3. Step 3: Cross multiply
    11,701.76x = 17,556.06 × 3,916.04
  4. Step 4: Simplify right side
    11,701.76x = 68,750,233.20
  5. Step 5: Solve for x
    x = 68,750,233.20/11,701.76
  6. Step 6: Final answer
    x = 5,875.20

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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.