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Finding the Fourth Proportional to 11,798.12, 17,698.18 and 3,033

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Solution

The fourth proportional to 11,798.12, 17,698.18 and 3,033 is: 4,549.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.12 : 17,698.18 = 3,033 : x
  2. Step 2: Convert to fraction form
    11,798.12/17,698.18 = 3,033/x
  3. Step 3: Cross multiply
    11,798.12x = 17,698.18 × 3,033
  4. Step 4: Simplify right side
    11,798.12x = 53,678,579.94
  5. Step 5: Solve for x
    x = 53,678,579.94/11,798.12
  6. Step 6: Final answer
    x = 4,549.76

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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.