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Finding the Fourth Proportional to 7,389.29, 10,194.36 and 4,738.16

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Solution

The fourth proportional to 7,389.29, 10,194.36 and 4,738.16 is: 6,536.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,389.29 : 10,194.36 = 4,738.16 : x
  2. Step 2: Convert to fraction form
    7,389.29/10,194.36 = 4,738.16/x
  3. Step 3: Cross multiply
    7,389.29x = 10,194.36 × 4,738.16
  4. Step 4: Simplify right side
    7,389.29x = 48,302,516.50
  5. Step 5: Solve for x
    x = 48,302,516.50/7,389.29
  6. Step 6: Final answer
    x = 6,536.83

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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.