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Finding the Fourth Proportional to 10,971.36, 16,436.16 and 6,798.24

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Solution

The fourth proportional to 10,971.36, 16,436.16 and 6,798.24 is: 10,184.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.36 : 16,436.16 = 6,798.24 : x
  2. Step 2: Convert to fraction form
    10,971.36/16,436.16 = 6,798.24/x
  3. Step 3: Cross multiply
    10,971.36x = 16,436.16 × 6,798.24
  4. Step 4: Simplify right side
    10,971.36x = 111,736,960.36
  5. Step 5: Solve for x
    x = 111,736,960.36/10,971.36
  6. Step 6: Final answer
    x = 10,184.42

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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.