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Finding the Fourth Proportional to 7,810.99, 11,714.68 and 2,263.08

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Solution

The fourth proportional to 7,810.99, 11,714.68 and 2,263.08 is: 3,394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.99 : 11,714.68 = 2,263.08 : x
  2. Step 2: Convert to fraction form
    7,810.99/11,714.68 = 2,263.08/x
  3. Step 3: Cross multiply
    7,810.99x = 11,714.68 × 2,263.08
  4. Step 4: Simplify right side
    7,810.99x = 26,511,258.01
  5. Step 5: Solve for x
    x = 26,511,258.01/7,810.99
  6. Step 6: Final answer
    x = 3,394.10

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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.