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Finding the Fourth Proportional to 10,454.22, 15,678.02 and 3,433.07

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Solution

The fourth proportional to 10,454.22, 15,678.02 and 3,433.07 is: 5,148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.22 : 15,678.02 = 3,433.07 : x
  2. Step 2: Convert to fraction form
    10,454.22/15,678.02 = 3,433.07/x
  3. Step 3: Cross multiply
    10,454.22x = 15,678.02 × 3,433.07
  4. Step 4: Simplify right side
    10,454.22x = 53,823,775.03
  5. Step 5: Solve for x
    x = 53,823,775.03/10,454.22
  6. Step 6: Final answer
    x = 5,148.52

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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.