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Finding the Fourth Proportional to 10,596.32, 15,884.76 and 5,396.12

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Solution

The fourth proportional to 10,596.32, 15,884.76 and 5,396.12 is: 8,089.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.32 : 15,884.76 = 5,396.12 : x
  2. Step 2: Convert to fraction form
    10,596.32/15,884.76 = 5,396.12/x
  3. Step 3: Cross multiply
    10,596.32x = 15,884.76 × 5,396.12
  4. Step 4: Simplify right side
    10,596.32x = 85,716,071.13
  5. Step 5: Solve for x
    x = 85,716,071.13/10,596.32
  6. Step 6: Final answer
    x = 8,089.23

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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.