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Finding the Fourth Proportional to 10,496.50, 14,486.34 and 6,248.56

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Solution

The fourth proportional to 10,496.50, 14,486.34 and 6,248.56 is: 8,623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.50 : 14,486.34 = 6,248.56 : x
  2. Step 2: Convert to fraction form
    10,496.50/14,486.34 = 6,248.56/x
  3. Step 3: Cross multiply
    10,496.50x = 14,486.34 × 6,248.56
  4. Step 4: Simplify right side
    10,496.50x = 90,518,764.67
  5. Step 5: Solve for x
    x = 90,518,764.67/10,496.50
  6. Step 6: Final answer
    x = 8,623.71

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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.