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Finding the Fourth Proportional to 6,376.34, 8,798.10 and 4,138.04

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Solution

The fourth proportional to 6,376.34, 8,798.10 and 4,138.04 is: 5,709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.34 : 8,798.10 = 4,138.04 : x
  2. Step 2: Convert to fraction form
    6,376.34/8,798.10 = 4,138.04/x
  3. Step 3: Cross multiply
    6,376.34x = 8,798.10 × 4,138.04
  4. Step 4: Simplify right side
    6,376.34x = 36,406,889.72
  5. Step 5: Solve for x
    x = 36,406,889.72/6,376.34
  6. Step 6: Final answer
    x = 5,709.68

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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.