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Finding the Fourth Proportional to 10,596.51, 15,897.33 and 3,200.54

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Solution

The fourth proportional to 10,596.51, 15,897.33 and 3,200.54 is: 4,801.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.51 : 15,897.33 = 3,200.54 : x
  2. Step 2: Convert to fraction form
    10,596.51/15,897.33 = 3,200.54/x
  3. Step 3: Cross multiply
    10,596.51x = 15,897.33 × 3,200.54
  4. Step 4: Simplify right side
    10,596.51x = 50,879,961.07
  5. Step 5: Solve for x
    x = 50,879,961.07/10,596.51
  6. Step 6: Final answer
    x = 4,801.58

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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.