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Finding the Fourth Proportional to 10,444.43, 15,669.53 and 4,823.82

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Solution

The fourth proportional to 10,444.43, 15,669.53 and 4,823.82 is: 7,237.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.43 : 15,669.53 = 4,823.82 : x
  2. Step 2: Convert to fraction form
    10,444.43/15,669.53 = 4,823.82/x
  3. Step 3: Cross multiply
    10,444.43x = 15,669.53 × 4,823.82
  4. Step 4: Simplify right side
    10,444.43x = 75,586,992.20
  5. Step 5: Solve for x
    x = 75,586,992.20/10,444.43
  6. Step 6: Final answer
    x = 7,237.06

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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.