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Finding the Fourth Proportional to 11,537.08, 17,312.62 and 4,611

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Solution

The fourth proportional to 11,537.08, 17,312.62 and 4,611 is: 6,919.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.08 : 17,312.62 = 4,611 : x
  2. Step 2: Convert to fraction form
    11,537.08/17,312.62 = 4,611/x
  3. Step 3: Cross multiply
    11,537.08x = 17,312.62 × 4,611
  4. Step 4: Simplify right side
    11,537.08x = 79,828,490.82
  5. Step 5: Solve for x
    x = 79,828,490.82/11,537.08
  6. Step 6: Final answer
    x = 6,919.30

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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.