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Finding the Fourth Proportional to 6,980.92, 10,478.31 and 5,680.01

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Solution

The fourth proportional to 6,980.92, 10,478.31 and 5,680.01 is: 8,525.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.92 : 10,478.31 = 5,680.01 : x
  2. Step 2: Convert to fraction form
    6,980.92/10,478.31 = 5,680.01/x
  3. Step 3: Cross multiply
    6,980.92x = 10,478.31 × 5,680.01
  4. Step 4: Simplify right side
    6,980.92x = 59,516,905.58
  5. Step 5: Solve for x
    x = 59,516,905.58/6,980.92
  6. Step 6: Final answer
    x = 8,525.65

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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.