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Finding the Fourth Proportional to 8,549.07, 12,823.14 and 2,309.00

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Solution

The fourth proportional to 8,549.07, 12,823.14 and 2,309.00 is: 3,463.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.07 : 12,823.14 = 2,309.00 : x
  2. Step 2: Convert to fraction form
    8,549.07/12,823.14 = 2,309.00/x
  3. Step 3: Cross multiply
    8,549.07x = 12,823.14 × 2,309.00
  4. Step 4: Simplify right side
    8,549.07x = 29,608,566.14
  5. Step 5: Solve for x
    x = 29,608,566.14/8,549.07
  6. Step 6: Final answer
    x = 3,463.37

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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.