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Finding the Fourth Proportional to 10,897.22, 16,316.46 and 6,927

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Solution

The fourth proportional to 10,897.22, 16,316.46 and 6,927 is: 10,371.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.22 : 16,316.46 = 6,927 : x
  2. Step 2: Convert to fraction form
    10,897.22/16,316.46 = 6,927/x
  3. Step 3: Cross multiply
    10,897.22x = 16,316.46 × 6,927
  4. Step 4: Simplify right side
    10,897.22x = 113,024,118.42
  5. Step 5: Solve for x
    x = 113,024,118.42/10,897.22
  6. Step 6: Final answer
    x = 10,371.84

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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.