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Finding the Fourth Proportional to 10,047.25, 15,056.29 and 5,655.33

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Solution

The fourth proportional to 10,047.25, 15,056.29 and 5,655.33 is: 8,474.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.25 : 15,056.29 = 5,655.33 : x
  2. Step 2: Convert to fraction form
    10,047.25/15,056.29 = 5,655.33/x
  3. Step 3: Cross multiply
    10,047.25x = 15,056.29 × 5,655.33
  4. Step 4: Simplify right side
    10,047.25x = 85,148,288.53
  5. Step 5: Solve for x
    x = 85,148,288.53/10,047.25
  6. Step 6: Final answer
    x = 8,474.79

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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.