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Finding the Fourth Proportional to 7,264.53, 10,025.10 and 4,120.65

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Solution

The fourth proportional to 7,264.53, 10,025.10 and 4,120.65 is: 5,686.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.53 : 10,025.10 = 4,120.65 : x
  2. Step 2: Convert to fraction form
    7,264.53/10,025.10 = 4,120.65/x
  3. Step 3: Cross multiply
    7,264.53x = 10,025.10 × 4,120.65
  4. Step 4: Simplify right side
    7,264.53x = 41,309,928.32
  5. Step 5: Solve for x
    x = 41,309,928.32/7,264.53
  6. Step 6: Final answer
    x = 5,686.52

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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.