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Finding the Fourth Proportional to 7,343.50, 10,133.63 and 4,157.17

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Solution

The fourth proportional to 7,343.50, 10,133.63 and 4,157.17 is: 5,736.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,343.50 : 10,133.63 = 4,157.17 : x
  2. Step 2: Convert to fraction form
    7,343.50/10,133.63 = 4,157.17/x
  3. Step 3: Cross multiply
    7,343.50x = 10,133.63 × 4,157.17
  4. Step 4: Simplify right side
    7,343.50x = 42,127,222.63
  5. Step 5: Solve for x
    x = 42,127,222.63/7,343.50
  6. Step 6: Final answer
    x = 5,736.67

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