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Finding the Fourth Proportional to 8,431.31, 11,635.99 and 6,303.15

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Solution

The fourth proportional to 8,431.31, 11,635.99 and 6,303.15 is: 8,698.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.31 : 11,635.99 = 6,303.15 : x
  2. Step 2: Convert to fraction form
    8,431.31/11,635.99 = 6,303.15/x
  3. Step 3: Cross multiply
    8,431.31x = 11,635.99 × 6,303.15
  4. Step 4: Simplify right side
    8,431.31x = 73,343,374.61
  5. Step 5: Solve for x
    x = 73,343,374.61/8,431.31
  6. Step 6: Final answer
    x = 8,698.94

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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.