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Finding the Fourth Proportional to 6,901.90, 10,340.70 and 5,662.60

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Solution

The fourth proportional to 6,901.90, 10,340.70 and 5,662.60 is: 8,483.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.90 : 10,340.70 = 5,662.60 : x
  2. Step 2: Convert to fraction form
    6,901.90/10,340.70 = 5,662.60/x
  3. Step 3: Cross multiply
    6,901.90x = 10,340.70 × 5,662.60
  4. Step 4: Simplify right side
    6,901.90x = 58,555,247.82
  5. Step 5: Solve for x
    x = 58,555,247.82/6,901.90
  6. Step 6: Final answer
    x = 8,483.93

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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.