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Finding the Fourth Proportional to 6,680.98, 10,030.74 and 4,208.50

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Solution

The fourth proportional to 6,680.98, 10,030.74 and 4,208.50 is: 6,318.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.98 : 10,030.74 = 4,208.50 : x
  2. Step 2: Convert to fraction form
    6,680.98/10,030.74 = 4,208.50/x
  3. Step 3: Cross multiply
    6,680.98x = 10,030.74 × 4,208.50
  4. Step 4: Simplify right side
    6,680.98x = 42,214,369.29
  5. Step 5: Solve for x
    x = 42,214,369.29/6,680.98
  6. Step 6: Final answer
    x = 6,318.59

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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.