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Finding the Fourth Proportional to 6,689.87, 10,034.76 and 5,230.25

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Solution

The fourth proportional to 6,689.87, 10,034.76 and 5,230.25 is: 7,845.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.87 : 10,034.76 = 5,230.25 : x
  2. Step 2: Convert to fraction form
    6,689.87/10,034.76 = 5,230.25/x
  3. Step 3: Cross multiply
    6,689.87x = 10,034.76 × 5,230.25
  4. Step 4: Simplify right side
    6,689.87x = 52,484,303.49
  5. Step 5: Solve for x
    x = 52,484,303.49/6,689.87
  6. Step 6: Final answer
    x = 7,845.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.