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Finding the Fourth Proportional to 7,264.14, 10,020.29 and 4,574.30

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Solution

The fourth proportional to 7,264.14, 10,020.29 and 4,574.30 is: 6,309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.14 : 10,020.29 = 4,574.30 : x
  2. Step 2: Convert to fraction form
    7,264.14/10,020.29 = 4,574.30/x
  3. Step 3: Cross multiply
    7,264.14x = 10,020.29 × 4,574.30
  4. Step 4: Simplify right side
    7,264.14x = 45,835,821.67
  5. Step 5: Solve for x
    x = 45,835,821.67/7,264.14
  6. Step 6: Final answer
    x = 6,309.87

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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.