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Finding the Fourth Proportional to 11,497, 17,253.60 and 4,573.12

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Solution

The fourth proportional to 11,497, 17,253.60 and 4,573.12 is: 6,862.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497 : 17,253.60 = 4,573.12 : x
  2. Step 2: Convert to fraction form
    11,497/17,253.60 = 4,573.12/x
  3. Step 3: Cross multiply
    11,497x = 17,253.60 × 4,573.12
  4. Step 4: Simplify right side
    11,497x = 78,902,783.23
  5. Step 5: Solve for x
    x = 78,902,783.23/11,497
  6. Step 6: Final answer
    x = 6,862.90

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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.