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Finding the Fourth Proportional to 10,415.69, 14,358.69 and 7,426.33

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Solution

The fourth proportional to 10,415.69, 14,358.69 and 7,426.33 is: 10,237.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.69 : 14,358.69 = 7,426.33 : x
  2. Step 2: Convert to fraction form
    10,415.69/14,358.69 = 7,426.33/x
  3. Step 3: Cross multiply
    10,415.69x = 14,358.69 × 7,426.33
  4. Step 4: Simplify right side
    10,415.69x = 106,632,370.31
  5. Step 5: Solve for x
    x = 106,632,370.31/10,415.69
  6. Step 6: Final answer
    x = 10,237.67

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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.