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Finding the Fourth Proportional to 11,438.44, 15,783.12 and 6,723.62

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Solution

The fourth proportional to 11,438.44, 15,783.12 and 6,723.62 is: 9,277.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.44 : 15,783.12 = 6,723.62 : x
  2. Step 2: Convert to fraction form
    11,438.44/15,783.12 = 6,723.62/x
  3. Step 3: Cross multiply
    11,438.44x = 15,783.12 × 6,723.62
  4. Step 4: Simplify right side
    11,438.44x = 106,119,701.29
  5. Step 5: Solve for x
    x = 106,119,701.29/11,438.44
  6. Step 6: Final answer
    x = 9,277.46

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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.