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Finding the Fourth Proportional to 7,264.62, 10,024.74 and 4,077.68

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Solution

The fourth proportional to 7,264.62, 10,024.74 and 4,077.68 is: 5,626.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.62 : 10,024.74 = 4,077.68 : x
  2. Step 2: Convert to fraction form
    7,264.62/10,024.74 = 4,077.68/x
  3. Step 3: Cross multiply
    7,264.62x = 10,024.74 × 4,077.68
  4. Step 4: Simplify right side
    7,264.62x = 40,877,631.68
  5. Step 5: Solve for x
    x = 40,877,631.68/7,264.62
  6. Step 6: Final answer
    x = 5,626.95

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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.