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Finding the Fourth Proportional to 6,263.65, 8,632.16 and 5,138.03

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Solution

The fourth proportional to 6,263.65, 8,632.16 and 5,138.03 is: 7,080.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,263.65 : 8,632.16 = 5,138.03 : x
  2. Step 2: Convert to fraction form
    6,263.65/8,632.16 = 5,138.03/x
  3. Step 3: Cross multiply
    6,263.65x = 8,632.16 × 5,138.03
  4. Step 4: Simplify right side
    6,263.65x = 44,352,266.73
  5. Step 5: Solve for x
    x = 44,352,266.73/6,263.65
  6. Step 6: Final answer
    x = 7,080.90

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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.