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Finding the Fourth Proportional to 11,613.69, 16,029.23 and 6,897.06

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Solution

The fourth proportional to 11,613.69, 16,029.23 and 6,897.06 is: 9,519.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.69 : 16,029.23 = 6,897.06 : x
  2. Step 2: Convert to fraction form
    11,613.69/16,029.23 = 6,897.06/x
  3. Step 3: Cross multiply
    11,613.69x = 16,029.23 × 6,897.06
  4. Step 4: Simplify right side
    11,613.69x = 110,554,526.58
  5. Step 5: Solve for x
    x = 110,554,526.58/11,613.69
  6. Step 6: Final answer
    x = 9,519.33

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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.