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Finding the Fourth Proportional to 7,570.73, 10,447.72 and 4,213.69

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Solution

The fourth proportional to 7,570.73, 10,447.72 and 4,213.69 is: 5,814.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.73 : 10,447.72 = 4,213.69 : x
  2. Step 2: Convert to fraction form
    7,570.73/10,447.72 = 4,213.69/x
  3. Step 3: Cross multiply
    7,570.73x = 10,447.72 × 4,213.69
  4. Step 4: Simplify right side
    7,570.73x = 44,023,416.63
  5. Step 5: Solve for x
    x = 44,023,416.63/7,570.73
  6. Step 6: Final answer
    x = 5,814.95

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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.