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Finding the Fourth Proportional to 7,188.83, 10,783.54 and 2,509.30

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Solution

The fourth proportional to 7,188.83, 10,783.54 and 2,509.30 is: 3,764.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.83 : 10,783.54 = 2,509.30 : x
  2. Step 2: Convert to fraction form
    7,188.83/10,783.54 = 2,509.30/x
  3. Step 3: Cross multiply
    7,188.83x = 10,783.54 × 2,509.30
  4. Step 4: Simplify right side
    7,188.83x = 27,059,153.54
  5. Step 5: Solve for x
    x = 27,059,153.54/7,188.83
  6. Step 6: Final answer
    x = 3,764.06

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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.