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Finding the Fourth Proportional to 10,556.46, 15,833.07 and 4,712.04

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Solution

The fourth proportional to 10,556.46, 15,833.07 and 4,712.04 is: 7,067.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,556.46 : 15,833.07 = 4,712.04 : x
  2. Step 2: Convert to fraction form
    10,556.46/15,833.07 = 4,712.04/x
  3. Step 3: Cross multiply
    10,556.46x = 15,833.07 × 4,712.04
  4. Step 4: Simplify right side
    10,556.46x = 74,606,059.16
  5. Step 5: Solve for x
    x = 74,606,059.16/10,556.46
  6. Step 6: Final answer
    x = 7,067.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.