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Finding the Fourth Proportional to 10,592.37, 15,888.16 and 3,196.64

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Solution

The fourth proportional to 10,592.37, 15,888.16 and 3,196.64 is: 4,794.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.37 : 15,888.16 = 3,196.64 : x
  2. Step 2: Convert to fraction form
    10,592.37/15,888.16 = 3,196.64/x
  3. Step 3: Cross multiply
    10,592.37x = 15,888.16 × 3,196.64
  4. Step 4: Simplify right side
    10,592.37x = 50,788,727.78
  5. Step 5: Solve for x
    x = 50,788,727.78/10,592.37
  6. Step 6: Final answer
    x = 4,794.84

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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.