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Finding the Fourth Proportional to 12,712.69, 19,071.78 and 5,216.27

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Solution

The fourth proportional to 12,712.69, 19,071.78 and 5,216.27 is: 7,825.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.69 : 19,071.78 = 5,216.27 : x
  2. Step 2: Convert to fraction form
    12,712.69/19,071.78 = 5,216.27/x
  3. Step 3: Cross multiply
    12,712.69x = 19,071.78 × 5,216.27
  4. Step 4: Simplify right side
    12,712.69x = 99,483,458.50
  5. Step 5: Solve for x
    x = 99,483,458.50/12,712.69
  6. Step 6: Final answer
    x = 7,825.53

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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.