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Finding the Fourth Proportional to 11,334.75, 15,640.88 and 10,498.83

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Solution

The fourth proportional to 11,334.75, 15,640.88 and 10,498.83 is: 14,487.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,334.75 : 15,640.88 = 10,498.83 : x
  2. Step 2: Convert to fraction form
    11,334.75/15,640.88 = 10,498.83/x
  3. Step 3: Cross multiply
    11,334.75x = 15,640.88 × 10,498.83
  4. Step 4: Simplify right side
    11,334.75x = 164,210,888.08
  5. Step 5: Solve for x
    x = 164,210,888.08/11,334.75
  6. Step 6: Final answer
    x = 14,487.39

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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.