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Finding the Fourth Proportional to 11,966.01, 16,513.64 and 6,930.45

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Solution

The fourth proportional to 11,966.01, 16,513.64 and 6,930.45 is: 9,564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.01 : 16,513.64 = 6,930.45 : x
  2. Step 2: Convert to fraction form
    11,966.01/16,513.64 = 6,930.45/x
  3. Step 3: Cross multiply
    11,966.01x = 16,513.64 × 6,930.45
  4. Step 4: Simplify right side
    11,966.01x = 114,446,956.34
  5. Step 5: Solve for x
    x = 114,446,956.34/11,966.01
  6. Step 6: Final answer
    x = 9,564.34

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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.