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Finding the Fourth Proportional to 10,651.72, 15,977.59 and 4,726.32

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Solution

The fourth proportional to 10,651.72, 15,977.59 and 4,726.32 is: 7,089.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.72 : 15,977.59 = 4,726.32 : x
  2. Step 2: Convert to fraction form
    10,651.72/15,977.59 = 4,726.32/x
  3. Step 3: Cross multiply
    10,651.72x = 15,977.59 × 4,726.32
  4. Step 4: Simplify right side
    10,651.72x = 75,515,131.44
  5. Step 5: Solve for x
    x = 75,515,131.44/10,651.72
  6. Step 6: Final answer
    x = 7,089.48

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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.