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Finding the Fourth Proportional to 11,614.19, 16,029.92 and 6,897.56

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Solution

The fourth proportional to 11,614.19, 16,029.92 and 6,897.56 is: 9,520.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.19 : 16,029.92 = 6,897.56 : x
  2. Step 2: Convert to fraction form
    11,614.19/16,029.92 = 6,897.56/x
  3. Step 3: Cross multiply
    11,614.19x = 16,029.92 × 6,897.56
  4. Step 4: Simplify right side
    11,614.19x = 110,567,300.51
  5. Step 5: Solve for x
    x = 110,567,300.51/11,614.19
  6. Step 6: Final answer
    x = 9,520.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.