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Finding the Fourth Proportional to 10,253.54, 14,150.16 and 5,777.04

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Solution

The fourth proportional to 10,253.54, 14,150.16 and 5,777.04 is: 7,972.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.54 : 14,150.16 = 5,777.04 : x
  2. Step 2: Convert to fraction form
    10,253.54/14,150.16 = 5,777.04/x
  3. Step 3: Cross multiply
    10,253.54x = 14,150.16 × 5,777.04
  4. Step 4: Simplify right side
    10,253.54x = 81,746,040.33
  5. Step 5: Solve for x
    x = 81,746,040.33/10,253.54
  6. Step 6: Final answer
    x = 7,972.47

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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.