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Finding the Fourth Proportional to 11,434.08, 15,778.88 and 6,466.08

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Solution

The fourth proportional to 11,434.08, 15,778.88 and 6,466.08 is: 8,923.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434.08 : 15,778.88 = 6,466.08 : x
  2. Step 2: Convert to fraction form
    11,434.08/15,778.88 = 6,466.08/x
  3. Step 3: Cross multiply
    11,434.08x = 15,778.88 × 6,466.08
  4. Step 4: Simplify right side
    11,434.08x = 102,027,500.39
  5. Step 5: Solve for x
    x = 102,027,500.39/11,434.08
  6. Step 6: Final answer
    x = 8,923.11

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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.