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Finding the Fourth Proportional to 12,783.58, 17,641.33 and 7,477.36

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Solution

The fourth proportional to 12,783.58, 17,641.33 and 7,477.36 is: 10,318.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.58 : 17,641.33 = 7,477.36 : x
  2. Step 2: Convert to fraction form
    12,783.58/17,641.33 = 7,477.36/x
  3. Step 3: Cross multiply
    12,783.58x = 17,641.33 × 7,477.36
  4. Step 4: Simplify right side
    12,783.58x = 131,910,512.49
  5. Step 5: Solve for x
    x = 131,910,512.49/12,783.58
  6. Step 6: Final answer
    x = 10,318.75

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