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Finding the Fourth Proportional to 11,599.32, 17,384.40 and 5,017.80

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Solution

The fourth proportional to 11,599.32, 17,384.40 and 5,017.80 is: 7,520.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.32 : 17,384.40 = 5,017.80 : x
  2. Step 2: Convert to fraction form
    11,599.32/17,384.40 = 5,017.80/x
  3. Step 3: Cross multiply
    11,599.32x = 17,384.40 × 5,017.80
  4. Step 4: Simplify right side
    11,599.32x = 87,231,442.32
  5. Step 5: Solve for x
    x = 87,231,442.32/11,599.32
  6. Step 6: Final answer
    x = 7,520.39

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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.