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Finding the Fourth Proportional to 8,316.92, 11,477.63 and 4,540.31

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Solution

The fourth proportional to 8,316.92, 11,477.63 and 4,540.31 is: 6,265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,316.92 : 11,477.63 = 4,540.31 : x
  2. Step 2: Convert to fraction form
    8,316.92/11,477.63 = 4,540.31/x
  3. Step 3: Cross multiply
    8,316.92x = 11,477.63 × 4,540.31
  4. Step 4: Simplify right side
    8,316.92x = 52,112,038.31
  5. Step 5: Solve for x
    x = 52,112,038.31/8,316.92
  6. Step 6: Final answer
    x = 6,265.78

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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.