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Finding the Fourth Proportional to 11,313.78, 16,967.93 and 4,744.88

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Solution

The fourth proportional to 11,313.78, 16,967.93 and 4,744.88 is: 7,116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,313.78 : 16,967.93 = 4,744.88 : x
  2. Step 2: Convert to fraction form
    11,313.78/16,967.93 = 4,744.88/x
  3. Step 3: Cross multiply
    11,313.78x = 16,967.93 × 4,744.88
  4. Step 4: Simplify right side
    11,313.78x = 80,510,683.13
  5. Step 5: Solve for x
    x = 80,510,683.13/11,313.78
  6. Step 6: Final answer
    x = 7,116.16

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Why These Related Problems?

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