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Finding the Fourth Proportional to 7,851.83, 11,767.84 and 4,155.71

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Solution

The fourth proportional to 7,851.83, 11,767.84 and 4,155.71 is: 6,228.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.83 : 11,767.84 = 4,155.71 : x
  2. Step 2: Convert to fraction form
    7,851.83/11,767.84 = 4,155.71/x
  3. Step 3: Cross multiply
    7,851.83x = 11,767.84 × 4,155.71
  4. Step 4: Simplify right side
    7,851.83x = 48,903,661.14
  5. Step 5: Solve for x
    x = 48,903,661.14/7,851.83
  6. Step 6: Final answer
    x = 6,228.32

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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.