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Finding the Fourth Proportional to 11,291.77, 16,948.16 and 5,749.26

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Solution

The fourth proportional to 11,291.77, 16,948.16 and 5,749.26 is: 8,629.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291.77 : 16,948.16 = 5,749.26 : x
  2. Step 2: Convert to fraction form
    11,291.77/16,948.16 = 5,749.26/x
  3. Step 3: Cross multiply
    11,291.77x = 16,948.16 × 5,749.26
  4. Step 4: Simplify right side
    11,291.77x = 97,439,378.36
  5. Step 5: Solve for x
    x = 97,439,378.36/11,291.77
  6. Step 6: Final answer
    x = 8,629.24

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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.