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Finding the Fourth Proportional to 11,096.04, 16,647.36 and 5,898

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Solution

The fourth proportional to 11,096.04, 16,647.36 and 5,898 is: 8,848.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,096.04 : 16,647.36 = 5,898 : x
  2. Step 2: Convert to fraction form
    11,096.04/16,647.36 = 5,898/x
  3. Step 3: Cross multiply
    11,096.04x = 16,647.36 × 5,898
  4. Step 4: Simplify right side
    11,096.04x = 98,186,129.28
  5. Step 5: Solve for x
    x = 98,186,129.28/11,096.04
  6. Step 6: Final answer
    x = 8,848.75

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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.