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Finding the Fourth Proportional to 11,771.68, 17,653.59 and 4,749.88

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Solution

The fourth proportional to 11,771.68, 17,653.59 and 4,749.88 is: 7,123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.68 : 17,653.59 = 4,749.88 : x
  2. Step 2: Convert to fraction form
    11,771.68/17,653.59 = 4,749.88/x
  3. Step 3: Cross multiply
    11,771.68x = 17,653.59 × 4,749.88
  4. Step 4: Simplify right side
    11,771.68x = 83,852,434.07
  5. Step 5: Solve for x
    x = 83,852,434.07/11,771.68
  6. Step 6: Final answer
    x = 7,123.23

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