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Finding the Fourth Proportional to 7,284.51, 10,931.09 and 6,823.26

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Solution

The fourth proportional to 7,284.51, 10,931.09 and 6,823.26 is: 10,238.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.51 : 10,931.09 = 6,823.26 : x
  2. Step 2: Convert to fraction form
    7,284.51/10,931.09 = 6,823.26/x
  3. Step 3: Cross multiply
    7,284.51x = 10,931.09 × 6,823.26
  4. Step 4: Simplify right side
    7,284.51x = 74,585,669.15
  5. Step 5: Solve for x
    x = 74,585,669.15/7,284.51
  6. Step 6: Final answer
    x = 10,238.94

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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.