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Finding the Fourth Proportional to 7,401.84, 10,211.10 and 4,415.88

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Solution

The fourth proportional to 7,401.84, 10,211.10 and 4,415.88 is: 6,091.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,401.84 : 10,211.10 = 4,415.88 : x
  2. Step 2: Convert to fraction form
    7,401.84/10,211.10 = 4,415.88/x
  3. Step 3: Cross multiply
    7,401.84x = 10,211.10 × 4,415.88
  4. Step 4: Simplify right side
    7,401.84x = 45,090,992.27
  5. Step 5: Solve for x
    x = 45,090,992.27/7,401.84
  6. Step 6: Final answer
    x = 6,091.86

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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.