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Finding the Fourth Proportional to 7,570.98, 11,356.02 and 3,409.92

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Solution

The fourth proportional to 7,570.98, 11,356.02 and 3,409.92 is: 5,114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.98 : 11,356.02 = 3,409.92 : x
  2. Step 2: Convert to fraction form
    7,570.98/11,356.02 = 3,409.92/x
  3. Step 3: Cross multiply
    7,570.98x = 11,356.02 × 3,409.92
  4. Step 4: Simplify right side
    7,570.98x = 38,723,119.72
  5. Step 5: Solve for x
    x = 38,723,119.72/7,570.98
  6. Step 6: Final answer
    x = 5,114.68

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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.