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Finding the Fourth Proportional to 7,653.21, 11,478.72 and 2,458.41

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Solution

The fourth proportional to 7,653.21, 11,478.72 and 2,458.41 is: 3,687.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,653.21 : 11,478.72 = 2,458.41 : x
  2. Step 2: Convert to fraction form
    7,653.21/11,478.72 = 2,458.41/x
  3. Step 3: Cross multiply
    7,653.21x = 11,478.72 × 2,458.41
  4. Step 4: Simplify right side
    7,653.21x = 28,219,400.04
  5. Step 5: Solve for x
    x = 28,219,400.04/7,653.21
  6. Step 6: Final answer
    x = 3,687.26

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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.