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Finding the Fourth Proportional to 7,193.31, 10,783.58 and 2,809.77

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Solution

The fourth proportional to 7,193.31, 10,783.58 and 2,809.77 is: 4,212.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.31 : 10,783.58 = 2,809.77 : x
  2. Step 2: Convert to fraction form
    7,193.31/10,783.58 = 2,809.77/x
  3. Step 3: Cross multiply
    7,193.31x = 10,783.58 × 2,809.77
  4. Step 4: Simplify right side
    7,193.31x = 30,299,365.53
  5. Step 5: Solve for x
    x = 30,299,365.53/7,193.31
  6. Step 6: Final answer
    x = 4,212.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.