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Finding the Fourth Proportional to 8,256.14, 11,384.91 and 7,065.07

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Solution

The fourth proportional to 8,256.14, 11,384.91 and 7,065.07 is: 9,742.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.14 : 11,384.91 = 7,065.07 : x
  2. Step 2: Convert to fraction form
    8,256.14/11,384.91 = 7,065.07/x
  3. Step 3: Cross multiply
    8,256.14x = 11,384.91 × 7,065.07
  4. Step 4: Simplify right side
    8,256.14x = 80,435,186.09
  5. Step 5: Solve for x
    x = 80,435,186.09/8,256.14
  6. Step 6: Final answer
    x = 9,742.47

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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.