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Finding the Fourth Proportional to 6,908.98, 10,354.80 and 5,442.34

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Solution

The fourth proportional to 6,908.98, 10,354.80 and 5,442.34 is: 8,156.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.98 : 10,354.80 = 5,442.34 : x
  2. Step 2: Convert to fraction form
    6,908.98/10,354.80 = 5,442.34/x
  3. Step 3: Cross multiply
    6,908.98x = 10,354.80 × 5,442.34
  4. Step 4: Simplify right side
    6,908.98x = 56,354,342.23
  5. Step 5: Solve for x
    x = 56,354,342.23/6,908.98
  6. Step 6: Final answer
    x = 8,156.68

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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.