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Finding the Fourth Proportional to 10,556.47, 15,820.86 and 5,874.07

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Solution

The fourth proportional to 10,556.47, 15,820.86 and 5,874.07 is: 8,803.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,556.47 : 15,820.86 = 5,874.07 : x
  2. Step 2: Convert to fraction form
    10,556.47/15,820.86 = 5,874.07/x
  3. Step 3: Cross multiply
    10,556.47x = 15,820.86 × 5,874.07
  4. Step 4: Simplify right side
    10,556.47x = 92,932,760.00
  5. Step 5: Solve for x
    x = 92,932,760.00/10,556.47
  6. Step 6: Final answer
    x = 8,803.39

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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.