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Finding the Fourth Proportional to 7,784.60, 10,741.80 and 4,427.42

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Solution

The fourth proportional to 7,784.60, 10,741.80 and 4,427.42 is: 6,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.60 : 10,741.80 = 4,427.42 : x
  2. Step 2: Convert to fraction form
    7,784.60/10,741.80 = 4,427.42/x
  3. Step 3: Cross multiply
    7,784.60x = 10,741.80 × 4,427.42
  4. Step 4: Simplify right side
    7,784.60x = 47,558,460.16
  5. Step 5: Solve for x
    x = 47,558,460.16/7,784.60
  6. Step 6: Final answer
    x = 6,109.30

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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.