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Finding the Fourth Proportional to 11,429.16, 15,771.72 and 6,393.96

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Solution

The fourth proportional to 11,429.16, 15,771.72 and 6,393.96 is: 8,823.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429.16 : 15,771.72 = 6,393.96 : x
  2. Step 2: Convert to fraction form
    11,429.16/15,771.72 = 6,393.96/x
  3. Step 3: Cross multiply
    11,429.16x = 15,771.72 × 6,393.96
  4. Step 4: Simplify right side
    11,429.16x = 100,843,746.81
  5. Step 5: Solve for x
    x = 100,843,746.81/11,429.16
  6. Step 6: Final answer
    x = 8,823.37

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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.