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Finding the Fourth Proportional to 8,404.56, 11,595.96 and 5,420.52

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Solution

The fourth proportional to 8,404.56, 11,595.96 and 5,420.52 is: 7,478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.56 : 11,595.96 = 5,420.52 : x
  2. Step 2: Convert to fraction form
    8,404.56/11,595.96 = 5,420.52/x
  3. Step 3: Cross multiply
    8,404.56x = 11,595.96 × 5,420.52
  4. Step 4: Simplify right side
    8,404.56x = 62,856,133.10
  5. Step 5: Solve for x
    x = 62,856,133.10/8,404.56
  6. Step 6: Final answer
    x = 7,478.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.