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Finding the Fourth Proportional to 8,352.18, 12,522.65 and 3,415.82

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Solution

The fourth proportional to 8,352.18, 12,522.65 and 3,415.82 is: 5,121.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.18 : 12,522.65 = 3,415.82 : x
  2. Step 2: Convert to fraction form
    8,352.18/12,522.65 = 3,415.82/x
  3. Step 3: Cross multiply
    8,352.18x = 12,522.65 × 3,415.82
  4. Step 4: Simplify right side
    8,352.18x = 42,775,038.63
  5. Step 5: Solve for x
    x = 42,775,038.63/8,352.18
  6. Step 6: Final answer
    x = 5,121.42

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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.