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Finding the Fourth Proportional to 10,639.15, 14,680.95 and 6,164.34

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Solution

The fourth proportional to 10,639.15, 14,680.95 and 6,164.34 is: 8,506.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,639.15 : 14,680.95 = 6,164.34 : x
  2. Step 2: Convert to fraction form
    10,639.15/14,680.95 = 6,164.34/x
  3. Step 3: Cross multiply
    10,639.15x = 14,680.95 × 6,164.34
  4. Step 4: Simplify right side
    10,639.15x = 90,498,289.15
  5. Step 5: Solve for x
    x = 90,498,289.15/10,639.15
  6. Step 6: Final answer
    x = 8,506.16

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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.