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Finding the Fourth Proportional to 7,808.40, 10,772.56 and 4,975.26

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Solution

The fourth proportional to 7,808.40, 10,772.56 and 4,975.26 is: 6,863.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.40 : 10,772.56 = 4,975.26 : x
  2. Step 2: Convert to fraction form
    7,808.40/10,772.56 = 4,975.26/x
  3. Step 3: Cross multiply
    7,808.40x = 10,772.56 × 4,975.26
  4. Step 4: Simplify right side
    7,808.40x = 53,596,286.87
  5. Step 5: Solve for x
    x = 53,596,286.87/7,808.40
  6. Step 6: Final answer
    x = 6,863.93

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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.