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Finding the Fourth Proportional to 10,248.47, 14,142.94 and 5,772.31

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Solution

The fourth proportional to 10,248.47, 14,142.94 and 5,772.31 is: 7,965.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,248.47 : 14,142.94 = 5,772.31 : x
  2. Step 2: Convert to fraction form
    10,248.47/14,142.94 = 5,772.31/x
  3. Step 3: Cross multiply
    10,248.47x = 14,142.94 × 5,772.31
  4. Step 4: Simplify right side
    10,248.47x = 81,637,334.42
  5. Step 5: Solve for x
    x = 81,637,334.42/10,248.47
  6. Step 6: Final answer
    x = 7,965.81

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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.