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Finding the Fourth Proportional to 11,503.28, 15,874.16 and 6,467.72

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Solution

The fourth proportional to 11,503.28, 15,874.16 and 6,467.72 is: 8,925.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.28 : 15,874.16 = 6,467.72 : x
  2. Step 2: Convert to fraction form
    11,503.28/15,874.16 = 6,467.72/x
  3. Step 3: Cross multiply
    11,503.28x = 15,874.16 × 6,467.72
  4. Step 4: Simplify right side
    11,503.28x = 102,669,558.91
  5. Step 5: Solve for x
    x = 102,669,558.91/11,503.28
  6. Step 6: Final answer
    x = 8,925.24

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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.