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Finding the Fourth Proportional to 7,566.54, 10,441.34 and 4,209.23

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Solution

The fourth proportional to 7,566.54, 10,441.34 and 4,209.23 is: 5,808.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.54 : 10,441.34 = 4,209.23 : x
  2. Step 2: Convert to fraction form
    7,566.54/10,441.34 = 4,209.23/x
  3. Step 3: Cross multiply
    7,566.54x = 10,441.34 × 4,209.23
  4. Step 4: Simplify right side
    7,566.54x = 43,949,928.32
  5. Step 5: Solve for x
    x = 43,949,928.32/7,566.54
  6. Step 6: Final answer
    x = 5,808.46

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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.