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Finding the Fourth Proportional to 10,718.76, 16,095.93 and 7,231.20

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Solution

The fourth proportional to 10,718.76, 16,095.93 and 7,231.20 is: 10,858.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,718.76 : 16,095.93 = 7,231.20 : x
  2. Step 2: Convert to fraction form
    10,718.76/16,095.93 = 7,231.20/x
  3. Step 3: Cross multiply
    10,718.76x = 16,095.93 × 7,231.20
  4. Step 4: Simplify right side
    10,718.76x = 116,392,889.02
  5. Step 5: Solve for x
    x = 116,392,889.02/10,718.76
  6. Step 6: Final answer
    x = 10,858.80

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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.