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Finding the Fourth Proportional to 11,903.18, 16,408.98 and 9,065.75

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Solution

The fourth proportional to 11,903.18, 16,408.98 and 9,065.75 is: 12,497.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,903.18 : 16,408.98 = 9,065.75 : x
  2. Step 2: Convert to fraction form
    11,903.18/16,408.98 = 9,065.75/x
  3. Step 3: Cross multiply
    11,903.18x = 16,408.98 × 9,065.75
  4. Step 4: Simplify right side
    11,903.18x = 148,759,628.39
  5. Step 5: Solve for x
    x = 148,759,628.39/11,903.18
  6. Step 6: Final answer
    x = 12,497.47

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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.