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Finding the Fourth Proportional to 10,496.64, 15,744.70 and 4,254.98

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Solution

The fourth proportional to 10,496.64, 15,744.70 and 4,254.98 is: 6,382.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.64 : 15,744.70 = 4,254.98 : x
  2. Step 2: Convert to fraction form
    10,496.64/15,744.70 = 4,254.98/x
  3. Step 3: Cross multiply
    10,496.64x = 15,744.70 × 4,254.98
  4. Step 4: Simplify right side
    10,496.64x = 66,993,412.33
  5. Step 5: Solve for x
    x = 66,993,412.33/10,496.64
  6. Step 6: Final answer
    x = 6,382.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.