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Finding the Fourth Proportional to 10,596.42, 15,894.74 and 3,200.94

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Solution

The fourth proportional to 10,596.42, 15,894.74 and 3,200.94 is: 4,801.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.42 : 15,894.74 = 3,200.94 : x
  2. Step 2: Convert to fraction form
    10,596.42/15,894.74 = 3,200.94/x
  3. Step 3: Cross multiply
    10,596.42x = 15,894.74 × 3,200.94
  4. Step 4: Simplify right side
    10,596.42x = 50,878,109.06
  5. Step 5: Solve for x
    x = 50,878,109.06/10,596.42
  6. Step 6: Final answer
    x = 4,801.44

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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.