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Finding the Fourth Proportional to 12,870, 19,288.68 and 5,465.76

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Solution

The fourth proportional to 12,870, 19,288.68 and 5,465.76 is: 8,191.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,870 : 19,288.68 = 5,465.76 : x
  2. Step 2: Convert to fraction form
    12,870/19,288.68 = 5,465.76/x
  3. Step 3: Cross multiply
    12,870x = 19,288.68 × 5,465.76
  4. Step 4: Simplify right side
    12,870x = 105,427,295.60
  5. Step 5: Solve for x
    x = 105,427,295.60/12,870
  6. Step 6: Final answer
    x = 8,191.71

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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.