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Finding the Fourth Proportional to 7,188.36, 10,782.84 and 3,498

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Solution

The fourth proportional to 7,188.36, 10,782.84 and 3,498 is: 5,247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.36 : 10,782.84 = 3,498 : x
  2. Step 2: Convert to fraction form
    7,188.36/10,782.84 = 3,498/x
  3. Step 3: Cross multiply
    7,188.36x = 10,782.84 × 3,498
  4. Step 4: Simplify right side
    7,188.36x = 37,718,374.32
  5. Step 5: Solve for x
    x = 37,718,374.32/7,188.36
  6. Step 6: Final answer
    x = 5,247.15

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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.