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Finding the Fourth Proportional to 11,577, 17,366.36 and 4,651.52

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Solution

The fourth proportional to 11,577, 17,366.36 and 4,651.52 is: 6,977.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577 : 17,366.36 = 4,651.52 : x
  2. Step 2: Convert to fraction form
    11,577/17,366.36 = 4,651.52/x
  3. Step 3: Cross multiply
    11,577x = 17,366.36 × 4,651.52
  4. Step 4: Simplify right side
    11,577x = 80,779,970.87
  5. Step 5: Solve for x
    x = 80,779,970.87/11,577
  6. Step 6: Final answer
    x = 6,977.63

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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.