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Finding the Fourth Proportional to 11,570.76, 17,342.23 and 5,322.16

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Solution

The fourth proportional to 11,570.76, 17,342.23 and 5,322.16 is: 7,976.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.76 : 17,342.23 = 5,322.16 : x
  2. Step 2: Convert to fraction form
    11,570.76/17,342.23 = 5,322.16/x
  3. Step 3: Cross multiply
    11,570.76x = 17,342.23 × 5,322.16
  4. Step 4: Simplify right side
    11,570.76x = 92,298,096.21
  5. Step 5: Solve for x
    x = 92,298,096.21/11,570.76
  6. Step 6: Final answer
    x = 7,976.84

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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.