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Finding the Fourth Proportional to 7,264.49, 10,024.89 and 4,077.84

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Solution

The fourth proportional to 7,264.49, 10,024.89 and 4,077.84 is: 5,627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.49 : 10,024.89 = 4,077.84 : x
  2. Step 2: Convert to fraction form
    7,264.49/10,024.89 = 4,077.84/x
  3. Step 3: Cross multiply
    7,264.49x = 10,024.89 × 4,077.84
  4. Step 4: Simplify right side
    7,264.49x = 40,879,931.21
  5. Step 5: Solve for x
    x = 40,879,931.21/7,264.49
  6. Step 6: Final answer
    x = 5,627.37

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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.