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Finding the Fourth Proportional to 12,846.80, 19,277.49 and 5,061.08

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Solution

The fourth proportional to 12,846.80, 19,277.49 and 5,061.08 is: 7,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.80 : 19,277.49 = 5,061.08 : x
  2. Step 2: Convert to fraction form
    12,846.80/19,277.49 = 5,061.08/x
  3. Step 3: Cross multiply
    12,846.80x = 19,277.49 × 5,061.08
  4. Step 4: Simplify right side
    12,846.80x = 97,564,986.26
  5. Step 5: Solve for x
    x = 97,564,986.26/12,846.80
  6. Step 6: Final answer
    x = 7,594.50

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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.