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Finding the Fourth Proportional to 10,617.34, 14,626.60 and 7,424.67

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Solution

The fourth proportional to 10,617.34, 14,626.60 and 7,424.67 is: 10,228.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.34 : 14,626.60 = 7,424.67 : x
  2. Step 2: Convert to fraction form
    10,617.34/14,626.60 = 7,424.67/x
  3. Step 3: Cross multiply
    10,617.34x = 14,626.60 × 7,424.67
  4. Step 4: Simplify right side
    10,617.34x = 108,597,678.22
  5. Step 5: Solve for x
    x = 108,597,678.22/10,617.34
  6. Step 6: Final answer
    x = 10,228.33

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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.