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Finding the Fourth Proportional to 10,937.90, 16,321.52 and 9,759.81

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Solution

The fourth proportional to 10,937.90, 16,321.52 and 9,759.81 is: 14,563.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.90 : 16,321.52 = 9,759.81 : x
  2. Step 2: Convert to fraction form
    10,937.90/16,321.52 = 9,759.81/x
  3. Step 3: Cross multiply
    10,937.90x = 16,321.52 × 9,759.81
  4. Step 4: Simplify right side
    10,937.90x = 159,294,934.11
  5. Step 5: Solve for x
    x = 159,294,934.11/10,937.90
  6. Step 6: Final answer
    x = 14,563.58

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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.