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Finding the Fourth Proportional to 6,684.36, 10,015.58 and 4,733.06

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Solution

The fourth proportional to 6,684.36, 10,015.58 and 4,733.06 is: 7,091.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.36 : 10,015.58 = 4,733.06 : x
  2. Step 2: Convert to fraction form
    6,684.36/10,015.58 = 4,733.06/x
  3. Step 3: Cross multiply
    6,684.36x = 10,015.58 × 4,733.06
  4. Step 4: Simplify right side
    6,684.36x = 47,404,341.07
  5. Step 5: Solve for x
    x = 47,404,341.07/6,684.36
  6. Step 6: Final answer
    x = 7,091.83

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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.