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Finding the Fourth Proportional to 7,188.12, 10,783.44 and 3,492.90

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Solution

The fourth proportional to 7,188.12, 10,783.44 and 3,492.90 is: 5,239.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.12 : 10,783.44 = 3,492.90 : x
  2. Step 2: Convert to fraction form
    7,188.12/10,783.44 = 3,492.90/x
  3. Step 3: Cross multiply
    7,188.12x = 10,783.44 × 3,492.90
  4. Step 4: Simplify right side
    7,188.12x = 37,665,477.58
  5. Step 5: Solve for x
    x = 37,665,477.58/7,188.12
  6. Step 6: Final answer
    x = 5,239.96

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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.