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Finding the Fourth Proportional to 7,736.16, 11,653.52 and 7,063.64

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Solution

The fourth proportional to 7,736.16, 11,653.52 and 7,063.64 is: 10,640.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736.16 : 11,653.52 = 7,063.64 : x
  2. Step 2: Convert to fraction form
    7,736.16/11,653.52 = 7,063.64/x
  3. Step 3: Cross multiply
    7,736.16x = 11,653.52 × 7,063.64
  4. Step 4: Simplify right side
    7,736.16x = 82,316,270.01
  5. Step 5: Solve for x
    x = 82,316,270.01/7,736.16
  6. Step 6: Final answer
    x = 10,640.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.