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Finding the Fourth Proportional to 7,804.47, 10,770.39 and 4,267.74

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Solution

The fourth proportional to 7,804.47, 10,770.39 and 4,267.74 is: 5,889.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.47 : 10,770.39 = 4,267.74 : x
  2. Step 2: Convert to fraction form
    7,804.47/10,770.39 = 4,267.74/x
  3. Step 3: Cross multiply
    7,804.47x = 10,770.39 × 4,267.74
  4. Step 4: Simplify right side
    7,804.47x = 45,965,224.22
  5. Step 5: Solve for x
    x = 45,965,224.22/7,804.47
  6. Step 6: Final answer
    x = 5,889.60

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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.