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Finding the Fourth Proportional to 10,248.34, 14,142.63 and 5,772.16

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Solution

The fourth proportional to 10,248.34, 14,142.63 and 5,772.16 is: 7,965.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,248.34 : 14,142.63 = 5,772.16 : x
  2. Step 2: Convert to fraction form
    10,248.34/14,142.63 = 5,772.16/x
  3. Step 3: Cross multiply
    10,248.34x = 14,142.63 × 5,772.16
  4. Step 4: Simplify right side
    10,248.34x = 81,633,523.18
  5. Step 5: Solve for x
    x = 81,633,523.18/10,248.34
  6. Step 6: Final answer
    x = 7,965.54

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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.