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Finding the Fourth Proportional to 8,405.56, 12,610.17 and 2,562.01

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Solution

The fourth proportional to 8,405.56, 12,610.17 and 2,562.01 is: 3,843.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.56 : 12,610.17 = 2,562.01 : x
  2. Step 2: Convert to fraction form
    8,405.56/12,610.17 = 2,562.01/x
  3. Step 3: Cross multiply
    8,405.56x = 12,610.17 × 2,562.01
  4. Step 4: Simplify right side
    8,405.56x = 32,307,381.64
  5. Step 5: Solve for x
    x = 32,307,381.64/8,405.56
  6. Step 6: Final answer
    x = 3,843.57

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Why These Related Problems?

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