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Finding the Fourth Proportional to 8,914.58, 12,302.57 and 5,138.36

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Solution

The fourth proportional to 8,914.58, 12,302.57 and 5,138.36 is: 7,091.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,914.58 : 12,302.57 = 5,138.36 : x
  2. Step 2: Convert to fraction form
    8,914.58/12,302.57 = 5,138.36/x
  3. Step 3: Cross multiply
    8,914.58x = 12,302.57 × 5,138.36
  4. Step 4: Simplify right side
    8,914.58x = 63,214,946.38
  5. Step 5: Solve for x
    x = 63,214,946.38/8,914.58
  6. Step 6: Final answer
    x = 7,091.19

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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.