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Finding the Fourth Proportional to 7,196.52, 10,782.36 and 5,618.40

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Solution

The fourth proportional to 7,196.52, 10,782.36 and 5,618.40 is: 8,417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.52 : 10,782.36 = 5,618.40 : x
  2. Step 2: Convert to fraction form
    7,196.52/10,782.36 = 5,618.40/x
  3. Step 3: Cross multiply
    7,196.52x = 10,782.36 × 5,618.40
  4. Step 4: Simplify right side
    7,196.52x = 60,579,611.42
  5. Step 5: Solve for x
    x = 60,579,611.42/7,196.52
  6. Step 6: Final answer
    x = 8,417.90

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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.