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Finding the Fourth Proportional to 7,448.32, 11,174.08 and 6,401.80

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Solution

The fourth proportional to 7,448.32, 11,174.08 and 6,401.80 is: 9,604.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.32 : 11,174.08 = 6,401.80 : x
  2. Step 2: Convert to fraction form
    7,448.32/11,174.08 = 6,401.80/x
  3. Step 3: Cross multiply
    7,448.32x = 11,174.08 × 6,401.80
  4. Step 4: Simplify right side
    7,448.32x = 71,534,225.34
  5. Step 5: Solve for x
    x = 71,534,225.34/7,448.32
  6. Step 6: Final answer
    x = 9,604.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.