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Finding the Fourth Proportional to 7,848.43, 11,757.22 and 4,554.63

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Solution

The fourth proportional to 7,848.43, 11,757.22 and 4,554.63 is: 6,822.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.43 : 11,757.22 = 4,554.63 : x
  2. Step 2: Convert to fraction form
    7,848.43/11,757.22 = 4,554.63/x
  3. Step 3: Cross multiply
    7,848.43x = 11,757.22 × 4,554.63
  4. Step 4: Simplify right side
    7,848.43x = 53,549,775.54
  5. Step 5: Solve for x
    x = 53,549,775.54/7,848.43
  6. Step 6: Final answer
    x = 6,822.99

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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.