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Finding the Fourth Proportional to 8,334.27, 11,501.06 and 4,557.32

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Solution

The fourth proportional to 8,334.27, 11,501.06 and 4,557.32 is: 6,288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,334.27 : 11,501.06 = 4,557.32 : x
  2. Step 2: Convert to fraction form
    8,334.27/11,501.06 = 4,557.32/x
  3. Step 3: Cross multiply
    8,334.27x = 11,501.06 × 4,557.32
  4. Step 4: Simplify right side
    8,334.27x = 52,413,930.47
  5. Step 5: Solve for x
    x = 52,413,930.47/8,334.27
  6. Step 6: Final answer
    x = 6,288.96

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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.