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Finding the Fourth Proportional to 7,741.56, 10,683.44 and 4,384.40

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Solution

The fourth proportional to 7,741.56, 10,683.44 and 4,384.40 is: 6,050.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.56 : 10,683.44 = 4,384.40 : x
  2. Step 2: Convert to fraction form
    7,741.56/10,683.44 = 4,384.40/x
  3. Step 3: Cross multiply
    7,741.56x = 10,683.44 × 4,384.40
  4. Step 4: Simplify right side
    7,741.56x = 46,840,474.34
  5. Step 5: Solve for x
    x = 46,840,474.34/7,741.56
  6. Step 6: Final answer
    x = 6,050.52

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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.