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Finding the Fourth Proportional to 12,707.87, 19,069.29 and 5,311.76

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Solution

The fourth proportional to 12,707.87, 19,069.29 and 5,311.76 is: 7,970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.87 : 19,069.29 = 5,311.76 : x
  2. Step 2: Convert to fraction form
    12,707.87/19,069.29 = 5,311.76/x
  3. Step 3: Cross multiply
    12,707.87x = 19,069.29 × 5,311.76
  4. Step 4: Simplify right side
    12,707.87x = 101,291,396.50
  5. Step 5: Solve for x
    x = 101,291,396.50/12,707.87
  6. Step 6: Final answer
    x = 7,970.76

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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.