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Finding the Fourth Proportional to 10,592.10, 15,888.27 and 3,196.63

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Solution

The fourth proportional to 10,592.10, 15,888.27 and 3,196.63 is: 4,794.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.10 : 15,888.27 = 3,196.63 : x
  2. Step 2: Convert to fraction form
    10,592.10/15,888.27 = 3,196.63/x
  3. Step 3: Cross multiply
    10,592.10x = 15,888.27 × 3,196.63
  4. Step 4: Simplify right side
    10,592.10x = 50,788,920.53
  5. Step 5: Solve for x
    x = 50,788,920.53/10,592.10
  6. Step 6: Final answer
    x = 4,794.98

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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.