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Finding the Fourth Proportional to 7,662.80, 10,563.72 and 5,140.40

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Solution

The fourth proportional to 7,662.80, 10,563.72 and 5,140.40 is: 7,086.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.80 : 10,563.72 = 5,140.40 : x
  2. Step 2: Convert to fraction form
    7,662.80/10,563.72 = 5,140.40/x
  3. Step 3: Cross multiply
    7,662.80x = 10,563.72 × 5,140.40
  4. Step 4: Simplify right side
    7,662.80x = 54,301,746.29
  5. Step 5: Solve for x
    x = 54,301,746.29/7,662.80
  6. Step 6: Final answer
    x = 7,086.41

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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.