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Finding the Fourth Proportional to 11,010.38, 15,189.27 and 7,029.50

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Solution

The fourth proportional to 11,010.38, 15,189.27 and 7,029.50 is: 9,697.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,010.38 : 15,189.27 = 7,029.50 : x
  2. Step 2: Convert to fraction form
    11,010.38/15,189.27 = 7,029.50/x
  3. Step 3: Cross multiply
    11,010.38x = 15,189.27 × 7,029.50
  4. Step 4: Simplify right side
    11,010.38x = 106,772,973.47
  5. Step 5: Solve for x
    x = 106,772,973.47/11,010.38
  6. Step 6: Final answer
    x = 9,697.48

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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.