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Finding the Fourth Proportional to 7,570.08, 10,446.64 and 4,212.74

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Solution

The fourth proportional to 7,570.08, 10,446.64 and 4,212.74 is: 5,813.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.08 : 10,446.64 = 4,212.74 : x
  2. Step 2: Convert to fraction form
    7,570.08/10,446.64 = 4,212.74/x
  3. Step 3: Cross multiply
    7,570.08x = 10,446.64 × 4,212.74
  4. Step 4: Simplify right side
    7,570.08x = 44,008,993.78
  5. Step 5: Solve for x
    x = 44,008,993.78/7,570.08
  6. Step 6: Final answer
    x = 5,813.54

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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.