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Finding the Fourth Proportional to 8,996.64, 13,491 and 4,066.08

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Solution

The fourth proportional to 8,996.64, 13,491 and 4,066.08 is: 6,097.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996.64 : 13,491 = 4,066.08 : x
  2. Step 2: Convert to fraction form
    8,996.64/13,491 = 4,066.08/x
  3. Step 3: Cross multiply
    8,996.64x = 13,491 × 4,066.08
  4. Step 4: Simplify right side
    8,996.64x = 54,855,485.28
  5. Step 5: Solve for x
    x = 54,855,485.28/8,996.64
  6. Step 6: Final answer
    x = 6,097.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.