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Finding the Fourth Proportional to 7,661.37, 11,492.71 and 2,114.71

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Solution

The fourth proportional to 7,661.37, 11,492.71 and 2,114.71 is: 3,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.37 : 11,492.71 = 2,114.71 : x
  2. Step 2: Convert to fraction form
    7,661.37/11,492.71 = 2,114.71/x
  3. Step 3: Cross multiply
    7,661.37x = 11,492.71 × 2,114.71
  4. Step 4: Simplify right side
    7,661.37x = 24,303,780.14
  5. Step 5: Solve for x
    x = 24,303,780.14/7,661.37
  6. Step 6: Final answer
    x = 3,172.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.