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Finding the Fourth Proportional to 10,111.54, 13,967.54 and 9,168.39

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Solution

The fourth proportional to 10,111.54, 13,967.54 and 9,168.39 is: 12,664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,111.54 : 13,967.54 = 9,168.39 : x
  2. Step 2: Convert to fraction form
    10,111.54/13,967.54 = 9,168.39/x
  3. Step 3: Cross multiply
    10,111.54x = 13,967.54 × 9,168.39
  4. Step 4: Simplify right side
    10,111.54x = 128,059,854.06
  5. Step 5: Solve for x
    x = 128,059,854.06/10,111.54
  6. Step 6: Final answer
    x = 12,664.72

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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.