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Finding the Fourth Proportional to 10,215.75, 14,097.74 and 6,496.23

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Solution

The fourth proportional to 10,215.75, 14,097.74 and 6,496.23 is: 8,964.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215.75 : 14,097.74 = 6,496.23 : x
  2. Step 2: Convert to fraction form
    10,215.75/14,097.74 = 6,496.23/x
  3. Step 3: Cross multiply
    10,215.75x = 14,097.74 × 6,496.23
  4. Step 4: Simplify right side
    10,215.75x = 91,582,129.04
  5. Step 5: Solve for x
    x = 91,582,129.04/10,215.75
  6. Step 6: Final answer
    x = 8,964.80

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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.