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Finding the Fourth Proportional to 7,436.76, 11,156.88 and 2,506.26

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Solution

The fourth proportional to 7,436.76, 11,156.88 and 2,506.26 is: 3,759.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,436.76 : 11,156.88 = 2,506.26 : x
  2. Step 2: Convert to fraction form
    7,436.76/11,156.88 = 2,506.26/x
  3. Step 3: Cross multiply
    7,436.76x = 11,156.88 × 2,506.26
  4. Step 4: Simplify right side
    7,436.76x = 27,962,042.07
  5. Step 5: Solve for x
    x = 27,962,042.07/7,436.76
  6. Step 6: Final answer
    x = 3,759.98

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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.