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Finding the Fourth Proportional to 7,264.10, 10,024.03 and 4,077.09

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Solution

The fourth proportional to 7,264.10, 10,024.03 and 4,077.09 is: 5,626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.10 : 10,024.03 = 4,077.09 : x
  2. Step 2: Convert to fraction form
    7,264.10/10,024.03 = 4,077.09/x
  3. Step 3: Cross multiply
    7,264.10x = 10,024.03 × 4,077.09
  4. Step 4: Simplify right side
    7,264.10x = 40,868,839.98
  5. Step 5: Solve for x
    x = 40,868,839.98/7,264.10
  6. Step 6: Final answer
    x = 5,626.14

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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.