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Finding the Fourth Proportional to 7,761.36, 11,640.12 and 4,838.16

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Solution

The fourth proportional to 7,761.36, 11,640.12 and 4,838.16 is: 7,256.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.36 : 11,640.12 = 4,838.16 : x
  2. Step 2: Convert to fraction form
    7,761.36/11,640.12 = 4,838.16/x
  3. Step 3: Cross multiply
    7,761.36x = 11,640.12 × 4,838.16
  4. Step 4: Simplify right side
    7,761.36x = 56,316,762.98
  5. Step 5: Solve for x
    x = 56,316,762.98/7,761.36
  6. Step 6: Final answer
    x = 7,256.04

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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.