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Finding the Fourth Proportional to 10,411.42, 15,597.15 and 8,725.54

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Solution

The fourth proportional to 10,411.42, 15,597.15 and 8,725.54 is: 13,071.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.42 : 15,597.15 = 8,725.54 : x
  2. Step 2: Convert to fraction form
    10,411.42/15,597.15 = 8,725.54/x
  3. Step 3: Cross multiply
    10,411.42x = 15,597.15 × 8,725.54
  4. Step 4: Simplify right side
    10,411.42x = 136,093,556.21
  5. Step 5: Solve for x
    x = 136,093,556.21/10,411.42
  6. Step 6: Final answer
    x = 13,071.57

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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.