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Finding the Fourth Proportional to 26,530.79, 39,782.49 and 7,808.40

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Solution

The fourth proportional to 26,530.79, 39,782.49 and 7,808.40 is: 11,708.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,530.79 : 39,782.49 = 7,808.40 : x
  2. Step 2: Convert to fraction form
    26,530.79/39,782.49 = 7,808.40/x
  3. Step 3: Cross multiply
    26,530.79x = 39,782.49 × 7,808.40
  4. Step 4: Simplify right side
    26,530.79x = 310,637,594.92
  5. Step 5: Solve for x
    x = 310,637,594.92/26,530.79
  6. Step 6: Final answer
    x = 11,708.57

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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.