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Finding the Fourth Proportional to 10,775.34, 16,129.59 and 5,832.72

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Solution

The fourth proportional to 10,775.34, 16,129.59 and 5,832.72 is: 8,730.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.34 : 16,129.59 = 5,832.72 : x
  2. Step 2: Convert to fraction form
    10,775.34/16,129.59 = 5,832.72/x
  3. Step 3: Cross multiply
    10,775.34x = 16,129.59 × 5,832.72
  4. Step 4: Simplify right side
    10,775.34x = 94,079,382.18
  5. Step 5: Solve for x
    x = 94,079,382.18/10,775.34
  6. Step 6: Final answer
    x = 8,730.99

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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.