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Finding the Fourth Proportional to 11,419.98, 15,764.42 and 6,945.16

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Solution

The fourth proportional to 11,419.98, 15,764.42 and 6,945.16 is: 9,587.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419.98 : 15,764.42 = 6,945.16 : x
  2. Step 2: Convert to fraction form
    11,419.98/15,764.42 = 6,945.16/x
  3. Step 3: Cross multiply
    11,419.98x = 15,764.42 × 6,945.16
  4. Step 4: Simplify right side
    11,419.98x = 109,486,419.21
  5. Step 5: Solve for x
    x = 109,486,419.21/11,419.98
  6. Step 6: Final answer
    x = 9,587.27

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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.