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Finding the Fourth Proportional to 7,423.74, 11,137.57 and 3,264.57

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Solution

The fourth proportional to 7,423.74, 11,137.57 and 3,264.57 is: 4,897.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,423.74 : 11,137.57 = 3,264.57 : x
  2. Step 2: Convert to fraction form
    7,423.74/11,137.57 = 3,264.57/x
  3. Step 3: Cross multiply
    7,423.74x = 11,137.57 × 3,264.57
  4. Step 4: Simplify right side
    7,423.74x = 36,359,368.73
  5. Step 5: Solve for x
    x = 36,359,368.73/7,423.74
  6. Step 6: Final answer
    x = 4,897.72

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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.