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Finding the Fourth Proportional to 7,783.53, 10,743.55 and 4,428.21

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Solution

The fourth proportional to 7,783.53, 10,743.55 and 4,428.21 is: 6,112.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.53 : 10,743.55 = 4,428.21 : x
  2. Step 2: Convert to fraction form
    7,783.53/10,743.55 = 4,428.21/x
  3. Step 3: Cross multiply
    7,783.53x = 10,743.55 × 4,428.21
  4. Step 4: Simplify right side
    7,783.53x = 47,574,749.67
  5. Step 5: Solve for x
    x = 47,574,749.67/7,783.53
  6. Step 6: Final answer
    x = 6,112.24

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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.