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Finding the Fourth Proportional to 11,570.76, 17,365.05 and 6,025.50

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Solution

The fourth proportional to 11,570.76, 17,365.05 and 6,025.50 is: 9,042.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.76 : 17,365.05 = 6,025.50 : x
  2. Step 2: Convert to fraction form
    11,570.76/17,365.05 = 6,025.50/x
  3. Step 3: Cross multiply
    11,570.76x = 17,365.05 × 6,025.50
  4. Step 4: Simplify right side
    11,570.76x = 104,633,108.78
  5. Step 5: Solve for x
    x = 104,633,108.78/11,570.76
  6. Step 6: Final answer
    x = 9,042.89

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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.