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Finding the Fourth Proportional to 26,048.56, 39,078.60 and 7,582

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Solution

The fourth proportional to 26,048.56, 39,078.60 and 7,582 is: 11,374.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,048.56 : 39,078.60 = 7,582 : x
  2. Step 2: Convert to fraction form
    26,048.56/39,078.60 = 7,582/x
  3. Step 3: Cross multiply
    26,048.56x = 39,078.60 × 7,582
  4. Step 4: Simplify right side
    26,048.56x = 296,293,945.20
  5. Step 5: Solve for x
    x = 296,293,945.20/26,048.56
  6. Step 6: Final answer
    x = 11,374.68

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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.