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Finding the Fourth Proportional to 6,074.34, 8,385.78 and 4,095.36

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Solution

The fourth proportional to 6,074.34, 8,385.78 and 4,095.36 is: 5,653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.34 : 8,385.78 = 4,095.36 : x
  2. Step 2: Convert to fraction form
    6,074.34/8,385.78 = 4,095.36/x
  3. Step 3: Cross multiply
    6,074.34x = 8,385.78 × 4,095.36
  4. Step 4: Simplify right side
    6,074.34x = 34,342,787.98
  5. Step 5: Solve for x
    x = 34,342,787.98/6,074.34
  6. Step 6: Final answer
    x = 5,653.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.