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Finding the Fourth Proportional to 12,859.60, 19,285.62 and 5,464

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Solution

The fourth proportional to 12,859.60, 19,285.62 and 5,464 is: 8,194.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,859.60 : 19,285.62 = 5,464 : x
  2. Step 2: Convert to fraction form
    12,859.60/19,285.62 = 5,464/x
  3. Step 3: Cross multiply
    12,859.60x = 19,285.62 × 5,464
  4. Step 4: Simplify right side
    12,859.60x = 105,376,627.68
  5. Step 5: Solve for x
    x = 105,376,627.68/12,859.60
  6. Step 6: Final answer
    x = 8,194.39

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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.