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Finding the Fourth Proportional to 10,317.68, 14,232.53 and 6,335.99

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Solution

The fourth proportional to 10,317.68, 14,232.53 and 6,335.99 is: 8,740.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,317.68 : 14,232.53 = 6,335.99 : x
  2. Step 2: Convert to fraction form
    10,317.68/14,232.53 = 6,335.99/x
  3. Step 3: Cross multiply
    10,317.68x = 14,232.53 × 6,335.99
  4. Step 4: Simplify right side
    10,317.68x = 90,177,064.91
  5. Step 5: Solve for x
    x = 90,177,064.91/10,317.68
  6. Step 6: Final answer
    x = 8,740.06

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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.