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Finding the Fourth Proportional to 8,069.60, 11,138.24 and 5,680.10

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Solution

The fourth proportional to 8,069.60, 11,138.24 and 5,680.10 is: 7,840.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,069.60 : 11,138.24 = 5,680.10 : x
  2. Step 2: Convert to fraction form
    8,069.60/11,138.24 = 5,680.10/x
  3. Step 3: Cross multiply
    8,069.60x = 11,138.24 × 5,680.10
  4. Step 4: Simplify right side
    8,069.60x = 63,266,317.02
  5. Step 5: Solve for x
    x = 63,266,317.02/8,069.60
  6. Step 6: Final answer
    x = 7,840.08

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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.