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Finding the Fourth Proportional to 10,323.81, 15,492.33 and 3,749.40

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Solution

The fourth proportional to 10,323.81, 15,492.33 and 3,749.40 is: 5,626.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.81 : 15,492.33 = 3,749.40 : x
  2. Step 2: Convert to fraction form
    10,323.81/15,492.33 = 3,749.40/x
  3. Step 3: Cross multiply
    10,323.81x = 15,492.33 × 3,749.40
  4. Step 4: Simplify right side
    10,323.81x = 58,086,942.10
  5. Step 5: Solve for x
    x = 58,086,942.10/10,323.81
  6. Step 6: Final answer
    x = 5,626.50

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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.