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Finding the Fourth Proportional to 10,753.44, 16,124.72 and 4,914.16

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Solution

The fourth proportional to 10,753.44, 16,124.72 and 4,914.16 is: 7,368.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,753.44 : 16,124.72 = 4,914.16 : x
  2. Step 2: Convert to fraction form
    10,753.44/16,124.72 = 4,914.16/x
  3. Step 3: Cross multiply
    10,753.44x = 16,124.72 × 4,914.16
  4. Step 4: Simplify right side
    10,753.44x = 79,239,454.04
  5. Step 5: Solve for x
    x = 79,239,454.04/10,753.44
  6. Step 6: Final answer
    x = 7,368.75

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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.