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Finding the Fourth Proportional to 7,817.30, 11,726.04 and 2,623.16

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Solution

The fourth proportional to 7,817.30, 11,726.04 and 2,623.16 is: 3,934.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.30 : 11,726.04 = 2,623.16 : x
  2. Step 2: Convert to fraction form
    7,817.30/11,726.04 = 2,623.16/x
  3. Step 3: Cross multiply
    7,817.30x = 11,726.04 × 2,623.16
  4. Step 4: Simplify right side
    7,817.30x = 30,759,279.09
  5. Step 5: Solve for x
    x = 30,759,279.09/7,817.30
  6. Step 6: Final answer
    x = 3,934.77

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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.