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Finding the Fourth Proportional to 10,897.81, 16,309.38 and 7,569.81

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Solution

The fourth proportional to 10,897.81, 16,309.38 and 7,569.81 is: 11,328.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.81 : 16,309.38 = 7,569.81 : x
  2. Step 2: Convert to fraction form
    10,897.81/16,309.38 = 7,569.81/x
  3. Step 3: Cross multiply
    10,897.81x = 16,309.38 × 7,569.81
  4. Step 4: Simplify right side
    10,897.81x = 123,458,913.27
  5. Step 5: Solve for x
    x = 123,458,913.27/10,897.81
  6. Step 6: Final answer
    x = 11,328.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.