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Finding the Fourth Proportional to 10,719.32, 16,059 and 6,323.72

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Solution

The fourth proportional to 10,719.32, 16,059 and 6,323.72 is: 9,473.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,719.32 : 16,059 = 6,323.72 : x
  2. Step 2: Convert to fraction form
    10,719.32/16,059 = 6,323.72/x
  3. Step 3: Cross multiply
    10,719.32x = 16,059 × 6,323.72
  4. Step 4: Simplify right side
    10,719.32x = 101,552,619.48
  5. Step 5: Solve for x
    x = 101,552,619.48/10,719.32
  6. Step 6: Final answer
    x = 9,473.79

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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.