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Finding the Fourth Proportional to 10,446.63, 15,655.22 and 5,768.75

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Solution

The fourth proportional to 10,446.63, 15,655.22 and 5,768.75 is: 8,644.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.63 : 15,655.22 = 5,768.75 : x
  2. Step 2: Convert to fraction form
    10,446.63/15,655.22 = 5,768.75/x
  3. Step 3: Cross multiply
    10,446.63x = 15,655.22 × 5,768.75
  4. Step 4: Simplify right side
    10,446.63x = 90,311,009.17
  5. Step 5: Solve for x
    x = 90,311,009.17/10,446.63
  6. Step 6: Final answer
    x = 8,644.99

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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.