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Finding the Fourth Proportional to 10,966.01, 15,133.08 and 5,930.21

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Solution

The fourth proportional to 10,966.01, 15,133.08 and 5,930.21 is: 8,183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.01 : 15,133.08 = 5,930.21 : x
  2. Step 2: Convert to fraction form
    10,966.01/15,133.08 = 5,930.21/x
  3. Step 3: Cross multiply
    10,966.01x = 15,133.08 × 5,930.21
  4. Step 4: Simplify right side
    10,966.01x = 89,742,342.35
  5. Step 5: Solve for x
    x = 89,742,342.35/10,966.01
  6. Step 6: Final answer
    x = 8,183.68

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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.