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Finding the Fourth Proportional to 11,203.63, 15,461.19 and 6,424

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Solution

The fourth proportional to 11,203.63, 15,461.19 and 6,424 is: 8,865.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,203.63 : 15,461.19 = 6,424 : x
  2. Step 2: Convert to fraction form
    11,203.63/15,461.19 = 6,424/x
  3. Step 3: Cross multiply
    11,203.63x = 15,461.19 × 6,424
  4. Step 4: Simplify right side
    11,203.63x = 99,322,684.56
  5. Step 5: Solve for x
    x = 99,322,684.56/11,203.63
  6. Step 6: Final answer
    x = 8,865.22

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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.