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Finding the Fourth Proportional to 7,570.74, 11,352.56 and 3,185.76

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Solution

The fourth proportional to 7,570.74, 11,352.56 and 3,185.76 is: 4,777.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.74 : 11,352.56 = 3,185.76 : x
  2. Step 2: Convert to fraction form
    7,570.74/11,352.56 = 3,185.76/x
  3. Step 3: Cross multiply
    7,570.74x = 11,352.56 × 3,185.76
  4. Step 4: Simplify right side
    7,570.74x = 36,166,515.62
  5. Step 5: Solve for x
    x = 36,166,515.62/7,570.74
  6. Step 6: Final answer
    x = 4,777.14

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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.