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Finding the Fourth Proportional to 7,808.10, 11,710.31 and 2,259.97

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Solution

The fourth proportional to 7,808.10, 11,710.31 and 2,259.97 is: 3,389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.10 : 11,710.31 = 2,259.97 : x
  2. Step 2: Convert to fraction form
    7,808.10/11,710.31 = 2,259.97/x
  3. Step 3: Cross multiply
    7,808.10x = 11,710.31 × 2,259.97
  4. Step 4: Simplify right side
    7,808.10x = 26,464,908.72
  5. Step 5: Solve for x
    x = 26,464,908.72/7,808.10
  6. Step 6: Final answer
    x = 3,389.42

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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.