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Finding the Fourth Proportional to 10,940.50, 16,325.38 and 9,762.40

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Solution

The fourth proportional to 10,940.50, 16,325.38 and 9,762.40 is: 14,567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.50 : 16,325.38 = 9,762.40 : x
  2. Step 2: Convert to fraction form
    10,940.50/16,325.38 = 9,762.40/x
  3. Step 3: Cross multiply
    10,940.50x = 16,325.38 × 9,762.40
  4. Step 4: Simplify right side
    10,940.50x = 159,374,889.71
  5. Step 5: Solve for x
    x = 159,374,889.71/10,940.50
  6. Step 6: Final answer
    x = 14,567.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.