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Finding the Fourth Proportional to 26,537.16, 39,806.36 and 8,762.08

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Solution

The fourth proportional to 26,537.16, 39,806.36 and 8,762.08 is: 13,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,537.16 : 39,806.36 = 8,762.08 : x
  2. Step 2: Convert to fraction form
    26,537.16/39,806.36 = 8,762.08/x
  3. Step 3: Cross multiply
    26,537.16x = 39,806.36 × 8,762.08
  4. Step 4: Simplify right side
    26,537.16x = 348,786,510.83
  5. Step 5: Solve for x
    x = 348,786,510.83/26,537.16
  6. Step 6: Final answer
    x = 13,143.32

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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.