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Finding the Fourth Proportional to 10,496.28, 14,469.36 and 6,719.04

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Solution

The fourth proportional to 10,496.28, 14,469.36 and 6,719.04 is: 9,262.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.28 : 14,469.36 = 6,719.04 : x
  2. Step 2: Convert to fraction form
    10,496.28/14,469.36 = 6,719.04/x
  3. Step 3: Cross multiply
    10,496.28x = 14,469.36 × 6,719.04
  4. Step 4: Simplify right side
    10,496.28x = 97,220,208.61
  5. Step 5: Solve for x
    x = 97,220,208.61/10,496.28
  6. Step 6: Final answer
    x = 9,262.35

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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.