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Finding the Fourth Proportional to 11,852.80, 16,349.39 and 7,599.39

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Solution

The fourth proportional to 11,852.80, 16,349.39 and 7,599.39 is: 10,482.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.80 : 16,349.39 = 7,599.39 : x
  2. Step 2: Convert to fraction form
    11,852.80/16,349.39 = 7,599.39/x
  3. Step 3: Cross multiply
    11,852.80x = 16,349.39 × 7,599.39
  4. Step 4: Simplify right side
    11,852.80x = 124,245,362.81
  5. Step 5: Solve for x
    x = 124,245,362.81/11,852.80
  6. Step 6: Final answer
    x = 10,482.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.