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Finding the Fourth Proportional to 12,040.34, 18,054 and 5,462.93

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Solution

The fourth proportional to 12,040.34, 18,054 and 5,462.93 is: 8,191.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,040.34 : 18,054 = 5,462.93 : x
  2. Step 2: Convert to fraction form
    12,040.34/18,054 = 5,462.93/x
  3. Step 3: Cross multiply
    12,040.34x = 18,054 × 5,462.93
  4. Step 4: Simplify right side
    12,040.34x = 98,627,783.36
  5. Step 5: Solve for x
    x = 98,627,783.36/12,040.34
  6. Step 6: Final answer
    x = 8,191.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.