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Finding the Fourth Proportional to 26,252.07, 39,378.09 and 7,784.07

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Solution

The fourth proportional to 26,252.07, 39,378.09 and 7,784.07 is: 11,676.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,252.07 : 39,378.09 = 7,784.07 : x
  2. Step 2: Convert to fraction form
    26,252.07/39,378.09 = 7,784.07/x
  3. Step 3: Cross multiply
    26,252.07x = 39,378.09 × 7,784.07
  4. Step 4: Simplify right side
    26,252.07x = 306,521,809.03
  5. Step 5: Solve for x
    x = 306,521,809.03/26,252.07
  6. Step 6: Final answer
    x = 11,676.10

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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.