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Finding the Fourth Proportional to 8,405.60, 11,595.22 and 5,216.90

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Solution

The fourth proportional to 8,405.60, 11,595.22 and 5,216.90 is: 7,196.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.60 : 11,595.22 = 5,216.90 : x
  2. Step 2: Convert to fraction form
    8,405.60/11,595.22 = 5,216.90/x
  3. Step 3: Cross multiply
    8,405.60x = 11,595.22 × 5,216.90
  4. Step 4: Simplify right side
    8,405.60x = 60,491,032.20
  5. Step 5: Solve for x
    x = 60,491,032.20/8,405.60
  6. Step 6: Final answer
    x = 7,196.52

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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.