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Finding the Fourth Proportional to 10,633.56, 14,648.92 and 7,440.90

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Solution

The fourth proportional to 10,633.56, 14,648.92 and 7,440.90 is: 10,250.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633.56 : 14,648.92 = 7,440.90 : x
  2. Step 2: Convert to fraction form
    10,633.56/14,648.92 = 7,440.90/x
  3. Step 3: Cross multiply
    10,633.56x = 14,648.92 × 7,440.90
  4. Step 4: Simplify right side
    10,633.56x = 109,001,148.83
  5. Step 5: Solve for x
    x = 109,001,148.83/10,633.56
  6. Step 6: Final answer
    x = 10,250.67

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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.