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Finding the Fourth Proportional to 11,426.21, 15,762.56 and 6,948.39

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Solution

The fourth proportional to 11,426.21, 15,762.56 and 6,948.39 is: 9,585.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,426.21 : 15,762.56 = 6,948.39 : x
  2. Step 2: Convert to fraction form
    11,426.21/15,762.56 = 6,948.39/x
  3. Step 3: Cross multiply
    11,426.21x = 15,762.56 × 6,948.39
  4. Step 4: Simplify right side
    11,426.21x = 109,524,379.54
  5. Step 5: Solve for x
    x = 109,524,379.54/11,426.21
  6. Step 6: Final answer
    x = 9,585.37

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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.