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Finding the Fourth Proportional to 8,630.70, 11,914.38 and 6,507.10

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Solution

The fourth proportional to 8,630.70, 11,914.38 and 6,507.10 is: 8,982.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,630.70 : 11,914.38 = 6,507.10 : x
  2. Step 2: Convert to fraction form
    8,630.70/11,914.38 = 6,507.10/x
  3. Step 3: Cross multiply
    8,630.70x = 11,914.38 × 6,507.10
  4. Step 4: Simplify right side
    8,630.70x = 77,528,062.10
  5. Step 5: Solve for x
    x = 77,528,062.10/8,630.70
  6. Step 6: Final answer
    x = 8,982.82

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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.