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Finding the Fourth Proportional to 10,019.78, 13,827.37 and 6,040.10

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Solution

The fourth proportional to 10,019.78, 13,827.37 and 6,040.10 is: 8,335.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.78 : 13,827.37 = 6,040.10 : x
  2. Step 2: Convert to fraction form
    10,019.78/13,827.37 = 6,040.10/x
  3. Step 3: Cross multiply
    10,019.78x = 13,827.37 × 6,040.10
  4. Step 4: Simplify right side
    10,019.78x = 83,518,697.54
  5. Step 5: Solve for x
    x = 83,518,697.54/10,019.78
  6. Step 6: Final answer
    x = 8,335.38

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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.