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Finding the Fourth Proportional to 11,522.56, 17,283.84 and 4,597.12

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Solution

The fourth proportional to 11,522.56, 17,283.84 and 4,597.12 is: 6,895.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,522.56 : 17,283.84 = 4,597.12 : x
  2. Step 2: Convert to fraction form
    11,522.56/17,283.84 = 4,597.12/x
  3. Step 3: Cross multiply
    11,522.56x = 17,283.84 × 4,597.12
  4. Step 4: Simplify right side
    11,522.56x = 79,455,886.54
  5. Step 5: Solve for x
    x = 79,455,886.54/11,522.56
  6. Step 6: Final answer
    x = 6,895.68

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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.