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Finding the Fourth Proportional to 7,854.69, 11,785.29 and 3,178.02

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Solution

The fourth proportional to 7,854.69, 11,785.29 and 3,178.02 is: 4,768.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.69 : 11,785.29 = 3,178.02 : x
  2. Step 2: Convert to fraction form
    7,854.69/11,785.29 = 3,178.02/x
  3. Step 3: Cross multiply
    7,854.69x = 11,785.29 × 3,178.02
  4. Step 4: Simplify right side
    7,854.69x = 37,453,887.33
  5. Step 5: Solve for x
    x = 37,453,887.33/7,854.69
  6. Step 6: Final answer
    x = 4,768.35

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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.