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Finding the Fourth Proportional to 7,521.34, 10,379.56 and 4,164.42

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Solution

The fourth proportional to 7,521.34, 10,379.56 and 4,164.42 is: 5,746.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,521.34 : 10,379.56 = 4,164.42 : x
  2. Step 2: Convert to fraction form
    7,521.34/10,379.56 = 4,164.42/x
  3. Step 3: Cross multiply
    7,521.34x = 10,379.56 × 4,164.42
  4. Step 4: Simplify right side
    7,521.34x = 43,224,847.26
  5. Step 5: Solve for x
    x = 43,224,847.26/7,521.34
  6. Step 6: Final answer
    x = 5,746.96

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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.