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Finding the Fourth Proportional to 11,870.66, 17,805.80 and 4,849.14

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Solution

The fourth proportional to 11,870.66, 17,805.80 and 4,849.14 is: 7,273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.66 : 17,805.80 = 4,849.14 : x
  2. Step 2: Convert to fraction form
    11,870.66/17,805.80 = 4,849.14/x
  3. Step 3: Cross multiply
    11,870.66x = 17,805.80 × 4,849.14
  4. Step 4: Simplify right side
    11,870.66x = 86,342,817.01
  5. Step 5: Solve for x
    x = 86,342,817.01/11,870.66
  6. Step 6: Final answer
    x = 7,273.63

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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.