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Finding the Fourth Proportional to 11,466.84, 17,200.24 and 7,570.33

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Solution

The fourth proportional to 11,466.84, 17,200.24 and 7,570.33 is: 11,355.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.84 : 17,200.24 = 7,570.33 : x
  2. Step 2: Convert to fraction form
    11,466.84/17,200.24 = 7,570.33/x
  3. Step 3: Cross multiply
    11,466.84x = 17,200.24 × 7,570.33
  4. Step 4: Simplify right side
    11,466.84x = 130,211,492.88
  5. Step 5: Solve for x
    x = 130,211,492.88/11,466.84
  6. Step 6: Final answer
    x = 11,355.48

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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.