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Finding the Fourth Proportional to 7,709.36, 10,638.90 and 4,172.54

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Solution

The fourth proportional to 7,709.36, 10,638.90 and 4,172.54 is: 5,758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.36 : 10,638.90 = 4,172.54 : x
  2. Step 2: Convert to fraction form
    7,709.36/10,638.90 = 4,172.54/x
  3. Step 3: Cross multiply
    7,709.36x = 10,638.90 × 4,172.54
  4. Step 4: Simplify right side
    7,709.36x = 44,391,235.81
  5. Step 5: Solve for x
    x = 44,391,235.81/7,709.36
  6. Step 6: Final answer
    x = 5,758.10

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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.