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Finding the Fourth Proportional to 7,566.25, 10,441.43 and 4,422.46

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Solution

The fourth proportional to 7,566.25, 10,441.43 and 4,422.46 is: 6,103.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.25 : 10,441.43 = 4,422.46 : x
  2. Step 2: Convert to fraction form
    7,566.25/10,441.43 = 4,422.46/x
  3. Step 3: Cross multiply
    7,566.25x = 10,441.43 × 4,422.46
  4. Step 4: Simplify right side
    7,566.25x = 46,176,806.52
  5. Step 5: Solve for x
    x = 46,176,806.52/7,566.25
  6. Step 6: Final answer
    x = 6,103.00

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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.