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Finding the Fourth Proportional to 10,912.68, 16,338.51 and 5,897.07

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Solution

The fourth proportional to 10,912.68, 16,338.51 and 5,897.07 is: 8,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,912.68 : 16,338.51 = 5,897.07 : x
  2. Step 2: Convert to fraction form
    10,912.68/16,338.51 = 5,897.07/x
  3. Step 3: Cross multiply
    10,912.68x = 16,338.51 × 5,897.07
  4. Step 4: Simplify right side
    10,912.68x = 96,349,337.17
  5. Step 5: Solve for x
    x = 96,349,337.17/10,912.68
  6. Step 6: Final answer
    x = 8,829.12

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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.