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Finding the Fourth Proportional to 7,096.16, 9,795.71 and 5,053.38

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Solution

The fourth proportional to 7,096.16, 9,795.71 and 5,053.38 is: 6,975.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.16 : 9,795.71 = 5,053.38 : x
  2. Step 2: Convert to fraction form
    7,096.16/9,795.71 = 5,053.38/x
  3. Step 3: Cross multiply
    7,096.16x = 9,795.71 × 5,053.38
  4. Step 4: Simplify right side
    7,096.16x = 49,501,419.73
  5. Step 5: Solve for x
    x = 49,501,419.73/7,096.16
  6. Step 6: Final answer
    x = 6,975.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.