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Finding the Fourth Proportional to 11,097, 16,653.70 and 5,253.61

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Solution

The fourth proportional to 11,097, 16,653.70 and 5,253.61 is: 7,884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097 : 16,653.70 = 5,253.61 : x
  2. Step 2: Convert to fraction form
    11,097/16,653.70 = 5,253.61/x
  3. Step 3: Cross multiply
    11,097x = 16,653.70 × 5,253.61
  4. Step 4: Simplify right side
    11,097x = 87,492,041.02
  5. Step 5: Solve for x
    x = 87,492,041.02/11,097
  6. Step 6: Final answer
    x = 7,884.30

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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.