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Finding the Fourth Proportional to 11,570.74, 17,352.53 and 4,174.24

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Solution

The fourth proportional to 11,570.74, 17,352.53 and 4,174.24 is: 6,260.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.74 : 17,352.53 = 4,174.24 : x
  2. Step 2: Convert to fraction form
    11,570.74/17,352.53 = 4,174.24/x
  3. Step 3: Cross multiply
    11,570.74x = 17,352.53 × 4,174.24
  4. Step 4: Simplify right side
    11,570.74x = 72,433,624.83
  5. Step 5: Solve for x
    x = 72,433,624.83/11,570.74
  6. Step 6: Final answer
    x = 6,260.07

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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.