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Finding the Fourth Proportional to 6,109.08, 8,412.12 and 5,042.88

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Solution

The fourth proportional to 6,109.08, 8,412.12 and 5,042.88 is: 6,943.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.08 : 8,412.12 = 5,042.88 : x
  2. Step 2: Convert to fraction form
    6,109.08/8,412.12 = 5,042.88/x
  3. Step 3: Cross multiply
    6,109.08x = 8,412.12 × 5,042.88
  4. Step 4: Simplify right side
    6,109.08x = 42,421,311.71
  5. Step 5: Solve for x
    x = 42,421,311.71/6,109.08
  6. Step 6: Final answer
    x = 6,943.98

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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.