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Finding the Fourth Proportional to 12,352.12, 17,045.94 and 6,763

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Solution

The fourth proportional to 12,352.12, 17,045.94 and 6,763 is: 9,332.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,352.12 : 17,045.94 = 6,763 : x
  2. Step 2: Convert to fraction form
    12,352.12/17,045.94 = 6,763/x
  3. Step 3: Cross multiply
    12,352.12x = 17,045.94 × 6,763
  4. Step 4: Simplify right side
    12,352.12x = 115,281,692.22
  5. Step 5: Solve for x
    x = 115,281,692.22/12,352.12
  6. Step 6: Final answer
    x = 9,332.95

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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.