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Finding the Fourth Proportional to 7,605.90, 11,433.15 and 5,429.70

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Solution

The fourth proportional to 7,605.90, 11,433.15 and 5,429.70 is: 8,161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.90 : 11,433.15 = 5,429.70 : x
  2. Step 2: Convert to fraction form
    7,605.90/11,433.15 = 5,429.70/x
  3. Step 3: Cross multiply
    7,605.90x = 11,433.15 × 5,429.70
  4. Step 4: Simplify right side
    7,605.90x = 62,078,574.56
  5. Step 5: Solve for x
    x = 62,078,574.56/7,605.90
  6. Step 6: Final answer
    x = 8,161.90

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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.