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Finding the Fourth Proportional to 7,661.98, 11,490.54 and 2,981.68

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Solution

The fourth proportional to 7,661.98, 11,490.54 and 2,981.68 is: 4,471.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.98 : 11,490.54 = 2,981.68 : x
  2. Step 2: Convert to fraction form
    7,661.98/11,490.54 = 2,981.68/x
  3. Step 3: Cross multiply
    7,661.98x = 11,490.54 × 2,981.68
  4. Step 4: Simplify right side
    7,661.98x = 34,261,113.31
  5. Step 5: Solve for x
    x = 34,261,113.31/7,661.98
  6. Step 6: Final answer
    x = 4,471.57

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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.