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Finding the Fourth Proportional to 10,310.04, 14,229 and 6,118.56

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Solution

The fourth proportional to 10,310.04, 14,229 and 6,118.56 is: 8,444.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.04 : 14,229 = 6,118.56 : x
  2. Step 2: Convert to fraction form
    10,310.04/14,229 = 6,118.56/x
  3. Step 3: Cross multiply
    10,310.04x = 14,229 × 6,118.56
  4. Step 4: Simplify right side
    10,310.04x = 87,060,990.24
  5. Step 5: Solve for x
    x = 87,060,990.24/10,310.04
  6. Step 6: Final answer
    x = 8,444.29

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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.