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Finding the Fourth Proportional to 10,339.73, 14,271.44 and 5,866.14

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Solution

The fourth proportional to 10,339.73, 14,271.44 and 5,866.14 is: 8,096.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.73 : 14,271.44 = 5,866.14 : x
  2. Step 2: Convert to fraction form
    10,339.73/14,271.44 = 5,866.14/x
  3. Step 3: Cross multiply
    10,339.73x = 14,271.44 × 5,866.14
  4. Step 4: Simplify right side
    10,339.73x = 83,718,235.71
  5. Step 5: Solve for x
    x = 83,718,235.71/10,339.73
  6. Step 6: Final answer
    x = 8,096.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.