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Finding the Fourth Proportional to 10,323.40, 15,487.26 and 3,397

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Solution

The fourth proportional to 10,323.40, 15,487.26 and 3,397 is: 5,096.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.40 : 15,487.26 = 3,397 : x
  2. Step 2: Convert to fraction form
    10,323.40/15,487.26 = 3,397/x
  3. Step 3: Cross multiply
    10,323.40x = 15,487.26 × 3,397
  4. Step 4: Simplify right side
    10,323.40x = 52,610,222.22
  5. Step 5: Solve for x
    x = 52,610,222.22/10,323.40
  6. Step 6: Final answer
    x = 5,096.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.