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Finding the Fourth Proportional to 10,855.72, 16,267.64 and 4,844.51

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Solution

The fourth proportional to 10,855.72, 16,267.64 and 4,844.51 is: 7,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855.72 : 16,267.64 = 4,844.51 : x
  2. Step 2: Convert to fraction form
    10,855.72/16,267.64 = 4,844.51/x
  3. Step 3: Cross multiply
    10,855.72x = 16,267.64 × 4,844.51
  4. Step 4: Simplify right side
    10,855.72x = 78,808,700.10
  5. Step 5: Solve for x
    x = 78,808,700.10/10,855.72
  6. Step 6: Final answer
    x = 7,259.65

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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.