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Finding the Fourth Proportional to 13,040.78, 19,564.06 and 6,111.50

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Solution

The fourth proportional to 13,040.78, 19,564.06 and 6,111.50 is: 9,168.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,040.78 : 19,564.06 = 6,111.50 : x
  2. Step 2: Convert to fraction form
    13,040.78/19,564.06 = 6,111.50/x
  3. Step 3: Cross multiply
    13,040.78x = 19,564.06 × 6,111.50
  4. Step 4: Simplify right side
    13,040.78x = 119,565,752.69
  5. Step 5: Solve for x
    x = 119,565,752.69/13,040.78
  6. Step 6: Final answer
    x = 9,168.60

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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.