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Finding the Fourth Proportional to 12,716.52, 19,048.86 and 5,317.98

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Solution

The fourth proportional to 12,716.52, 19,048.86 and 5,317.98 is: 7,966.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.52 : 19,048.86 = 5,317.98 : x
  2. Step 2: Convert to fraction form
    12,716.52/19,048.86 = 5,317.98/x
  3. Step 3: Cross multiply
    12,716.52x = 19,048.86 × 5,317.98
  4. Step 4: Simplify right side
    12,716.52x = 101,301,456.50
  5. Step 5: Solve for x
    x = 101,301,456.50/12,716.52
  6. Step 6: Final answer
    x = 7,966.13

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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.