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Finding the Fourth Proportional to 26,283, 39,412.62 and 7,558.74

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Solution

The fourth proportional to 26,283, 39,412.62 and 7,558.74 is: 11,334.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,283 : 39,412.62 = 7,558.74 : x
  2. Step 2: Convert to fraction form
    26,283/39,412.62 = 7,558.74/x
  3. Step 3: Cross multiply
    26,283x = 39,412.62 × 7,558.74
  4. Step 4: Simplify right side
    26,283x = 297,909,747.30
  5. Step 5: Solve for x
    x = 297,909,747.30/26,283
  6. Step 6: Final answer
    x = 11,334.69

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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.