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Finding the Fourth Proportional to 11,438.42, 15,788.14 and 6,724.22

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Solution

The fourth proportional to 11,438.42, 15,788.14 and 6,724.22 is: 9,281.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.42 : 15,788.14 = 6,724.22 : x
  2. Step 2: Convert to fraction form
    11,438.42/15,788.14 = 6,724.22/x
  3. Step 3: Cross multiply
    11,438.42x = 15,788.14 × 6,724.22
  4. Step 4: Simplify right side
    11,438.42x = 106,162,926.75
  5. Step 5: Solve for x
    x = 106,162,926.75/11,438.42
  6. Step 6: Final answer
    x = 9,281.26

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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.