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Finding the Fourth Proportional to 7,364.16, 10,162.54 and 4,220.34

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Solution

The fourth proportional to 7,364.16, 10,162.54 and 4,220.34 is: 5,824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,364.16 : 10,162.54 = 4,220.34 : x
  2. Step 2: Convert to fraction form
    7,364.16/10,162.54 = 4,220.34/x
  3. Step 3: Cross multiply
    7,364.16x = 10,162.54 × 4,220.34
  4. Step 4: Simplify right side
    7,364.16x = 42,889,401.62
  5. Step 5: Solve for x
    x = 42,889,401.62/7,364.16
  6. Step 6: Final answer
    x = 5,824.08

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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.