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Finding the Fourth Proportional to 10,492.90, 15,725.44 and 3,912.46

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Solution

The fourth proportional to 10,492.90, 15,725.44 and 3,912.46 is: 5,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.90 : 15,725.44 = 3,912.46 : x
  2. Step 2: Convert to fraction form
    10,492.90/15,725.44 = 3,912.46/x
  3. Step 3: Cross multiply
    10,492.90x = 15,725.44 × 3,912.46
  4. Step 4: Simplify right side
    10,492.90x = 61,525,154.98
  5. Step 5: Solve for x
    x = 61,525,154.98/10,492.90
  6. Step 6: Final answer
    x = 5,863.50

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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.