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Finding the Fourth Proportional to 7,064.63, 10,596.94 and 2,447.63

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Solution

The fourth proportional to 7,064.63, 10,596.94 and 2,447.63 is: 3,671.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.63 : 10,596.94 = 2,447.63 : x
  2. Step 2: Convert to fraction form
    7,064.63/10,596.94 = 2,447.63/x
  3. Step 3: Cross multiply
    7,064.63x = 10,596.94 × 2,447.63
  4. Step 4: Simplify right side
    7,064.63x = 25,937,329.15
  5. Step 5: Solve for x
    x = 25,937,329.15/7,064.63
  6. Step 6: Final answer
    x = 3,671.44

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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.