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Finding the Fourth Proportional to 11,865.49, 17,830.56 and 6,322.79

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Solution

The fourth proportional to 11,865.49, 17,830.56 and 6,322.79 is: 9,501.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865.49 : 17,830.56 = 6,322.79 : x
  2. Step 2: Convert to fraction form
    11,865.49/17,830.56 = 6,322.79/x
  3. Step 3: Cross multiply
    11,865.49x = 17,830.56 × 6,322.79
  4. Step 4: Simplify right side
    11,865.49x = 112,738,886.46
  5. Step 5: Solve for x
    x = 112,738,886.46/11,865.49
  6. Step 6: Final answer
    x = 9,501.41

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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.