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Finding the Fourth Proportional to 27,586.74, 41,386.60 and 7,865.58

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Solution

The fourth proportional to 27,586.74, 41,386.60 and 7,865.58 is: 11,800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,586.74 : 41,386.60 = 7,865.58 : x
  2. Step 2: Convert to fraction form
    27,586.74/41,386.60 = 7,865.58/x
  3. Step 3: Cross multiply
    27,586.74x = 41,386.60 × 7,865.58
  4. Step 4: Simplify right side
    27,586.74x = 325,529,613.23
  5. Step 5: Solve for x
    x = 325,529,613.23/27,586.74
  6. Step 6: Final answer
    x = 11,800.22

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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.