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Finding the Fourth Proportional to 10,861, 14,988.32 and 6,145.18

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Solution

The fourth proportional to 10,861, 14,988.32 and 6,145.18 is: 8,480.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861 : 14,988.32 = 6,145.18 : x
  2. Step 2: Convert to fraction form
    10,861/14,988.32 = 6,145.18/x
  3. Step 3: Cross multiply
    10,861x = 14,988.32 × 6,145.18
  4. Step 4: Simplify right side
    10,861x = 92,105,893.57
  5. Step 5: Solve for x
    x = 92,105,893.57/10,861
  6. Step 6: Final answer
    x = 8,480.42

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Why These Related Problems?

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