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Finding the Fourth Proportional to 11,032.92, 15,222.74 and 6,556.52

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Solution

The fourth proportional to 11,032.92, 15,222.74 and 6,556.52 is: 9,046.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,032.92 : 15,222.74 = 6,556.52 : x
  2. Step 2: Convert to fraction form
    11,032.92/15,222.74 = 6,556.52/x
  3. Step 3: Cross multiply
    11,032.92x = 15,222.74 × 6,556.52
  4. Step 4: Simplify right side
    11,032.92x = 99,808,199.26
  5. Step 5: Solve for x
    x = 99,808,199.26/11,032.92
  6. Step 6: Final answer
    x = 9,046.40

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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.