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Finding the Fourth Proportional to 10,556.98, 15,833.13 and 4,709.86

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Solution

The fourth proportional to 10,556.98, 15,833.13 and 4,709.86 is: 7,063.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,556.98 : 15,833.13 = 4,709.86 : x
  2. Step 2: Convert to fraction form
    10,556.98/15,833.13 = 4,709.86/x
  3. Step 3: Cross multiply
    10,556.98x = 15,833.13 × 4,709.86
  4. Step 4: Simplify right side
    10,556.98x = 74,571,825.66
  5. Step 5: Solve for x
    x = 74,571,825.66/10,556.98
  6. Step 6: Final answer
    x = 7,063.75

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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.