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Finding the Fourth Proportional to 10,697.20, 16,051.20 and 4,850.08

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Solution

The fourth proportional to 10,697.20, 16,051.20 and 4,850.08 is: 7,277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.20 : 16,051.20 = 4,850.08 : x
  2. Step 2: Convert to fraction form
    10,697.20/16,051.20 = 4,850.08/x
  3. Step 3: Cross multiply
    10,697.20x = 16,051.20 × 4,850.08
  4. Step 4: Simplify right side
    10,697.20x = 77,849,604.10
  5. Step 5: Solve for x
    x = 77,849,604.10/10,697.20
  6. Step 6: Final answer
    x = 7,277.57

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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.