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Finding the Fourth Proportional to 26,277.10, 39,415.65 and 7,809.10

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Solution

The fourth proportional to 26,277.10, 39,415.65 and 7,809.10 is: 11,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,277.10 : 39,415.65 = 7,809.10 : x
  2. Step 2: Convert to fraction form
    26,277.10/39,415.65 = 7,809.10/x
  3. Step 3: Cross multiply
    26,277.10x = 39,415.65 × 7,809.10
  4. Step 4: Simplify right side
    26,277.10x = 307,800,752.42
  5. Step 5: Solve for x
    x = 307,800,752.42/26,277.10
  6. Step 6: Final answer
    x = 11,713.65

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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.