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Finding the Fourth Proportional to 6,977.22, 10,470.69 and 4,788.06

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Solution

The fourth proportional to 6,977.22, 10,470.69 and 4,788.06 is: 7,185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.22 : 10,470.69 = 4,788.06 : x
  2. Step 2: Convert to fraction form
    6,977.22/10,470.69 = 4,788.06/x
  3. Step 3: Cross multiply
    6,977.22x = 10,470.69 × 4,788.06
  4. Step 4: Simplify right side
    6,977.22x = 50,134,291.96
  5. Step 5: Solve for x
    x = 50,134,291.96/6,977.22
  6. Step 6: Final answer
    x = 7,185.43

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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.