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Finding the Fourth Proportional to 7,323.40, 10,106.06 and 4,136.81

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Solution

The fourth proportional to 7,323.40, 10,106.06 and 4,136.81 is: 5,708.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,323.40 : 10,106.06 = 4,136.81 : x
  2. Step 2: Convert to fraction form
    7,323.40/10,106.06 = 4,136.81/x
  3. Step 3: Cross multiply
    7,323.40x = 10,106.06 × 4,136.81
  4. Step 4: Simplify right side
    7,323.40x = 41,806,829.38
  5. Step 5: Solve for x
    x = 41,806,829.38/7,323.40
  6. Step 6: Final answer
    x = 5,708.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.