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Finding the Fourth Proportional to 7,784.03, 10,742.29 and 4,427.44

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Solution

The fourth proportional to 7,784.03, 10,742.29 and 4,427.44 is: 6,110.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.03 : 10,742.29 = 4,427.44 : x
  2. Step 2: Convert to fraction form
    7,784.03/10,742.29 = 4,427.44/x
  3. Step 3: Cross multiply
    7,784.03x = 10,742.29 × 4,427.44
  4. Step 4: Simplify right side
    7,784.03x = 47,560,806.51
  5. Step 5: Solve for x
    x = 47,560,806.51/7,784.03
  6. Step 6: Final answer
    x = 6,110.05

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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.