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Finding the Fourth Proportional to 8,340.37, 11,513.87 and 4,802.90

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Solution

The fourth proportional to 8,340.37, 11,513.87 and 4,802.90 is: 6,630.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.37 : 11,513.87 = 4,802.90 : x
  2. Step 2: Convert to fraction form
    8,340.37/11,513.87 = 4,802.90/x
  3. Step 3: Cross multiply
    8,340.37x = 11,513.87 × 4,802.90
  4. Step 4: Simplify right side
    8,340.37x = 55,299,916.16
  5. Step 5: Solve for x
    x = 55,299,916.16/8,340.37
  6. Step 6: Final answer
    x = 6,630.39

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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.