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Finding the Fourth Proportional to 11,524, 15,903.12 and 6,556.32

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Solution

The fourth proportional to 11,524, 15,903.12 and 6,556.32 is: 9,047.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524 : 15,903.12 = 6,556.32 : x
  2. Step 2: Convert to fraction form
    11,524/15,903.12 = 6,556.32/x
  3. Step 3: Cross multiply
    11,524x = 15,903.12 × 6,556.32
  4. Step 4: Simplify right side
    11,524x = 104,265,943.72
  5. Step 5: Solve for x
    x = 104,265,943.72/11,524
  6. Step 6: Final answer
    x = 9,047.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.