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Finding the Fourth Proportional to 7,264.15, 10,024.74 and 5,143.46

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Solution

The fourth proportional to 7,264.15, 10,024.74 and 5,143.46 is: 7,098.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.15 : 10,024.74 = 5,143.46 : x
  2. Step 2: Convert to fraction form
    7,264.15/10,024.74 = 5,143.46/x
  3. Step 3: Cross multiply
    7,264.15x = 10,024.74 × 5,143.46
  4. Step 4: Simplify right side
    7,264.15x = 51,561,849.20
  5. Step 5: Solve for x
    x = 51,561,849.20/7,264.15
  6. Step 6: Final answer
    x = 7,098.13

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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.