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Finding the Fourth Proportional to 6,411, 8,848.68 and 4,169.00

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Solution

The fourth proportional to 6,411, 8,848.68 and 4,169.00 is: 5,754.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411 : 8,848.68 = 4,169.00 : x
  2. Step 2: Convert to fraction form
    6,411/8,848.68 = 4,169.00/x
  3. Step 3: Cross multiply
    6,411x = 8,848.68 × 4,169.00
  4. Step 4: Simplify right side
    6,411x = 36,890,102.68
  5. Step 5: Solve for x
    x = 36,890,102.68/6,411
  6. Step 6: Final answer
    x = 5,754.19

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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.