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Finding the Fourth Proportional to 13,048.58, 19,599.06 and 7,793.84

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Solution

The fourth proportional to 13,048.58, 19,599.06 and 7,793.84 is: 11,706.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,048.58 : 19,599.06 = 7,793.84 : x
  2. Step 2: Convert to fraction form
    13,048.58/19,599.06 = 7,793.84/x
  3. Step 3: Cross multiply
    13,048.58x = 19,599.06 × 7,793.84
  4. Step 4: Simplify right side
    13,048.58x = 152,751,839.80
  5. Step 5: Solve for x
    x = 152,751,839.80/13,048.58
  6. Step 6: Final answer
    x = 11,706.40

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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.