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Finding the Fourth Proportional to 10,865.35, 16,206.67 and 9,868.75

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Solution

The fourth proportional to 10,865.35, 16,206.67 and 9,868.75 is: 14,720.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865.35 : 16,206.67 = 9,868.75 : x
  2. Step 2: Convert to fraction form
    10,865.35/16,206.67 = 9,868.75/x
  3. Step 3: Cross multiply
    10,865.35x = 16,206.67 × 9,868.75
  4. Step 4: Simplify right side
    10,865.35x = 159,939,546.38
  5. Step 5: Solve for x
    x = 159,939,546.38/10,865.35
  6. Step 6: Final answer
    x = 14,720.15

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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.