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Finding the Fourth Proportional to 10,763.66, 14,844.92 and 7,743.18

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Solution

The fourth proportional to 10,763.66, 14,844.92 and 7,743.18 is: 10,679.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,763.66 : 14,844.92 = 7,743.18 : x
  2. Step 2: Convert to fraction form
    10,763.66/14,844.92 = 7,743.18/x
  3. Step 3: Cross multiply
    10,763.66x = 14,844.92 × 7,743.18
  4. Step 4: Simplify right side
    10,763.66x = 114,946,887.65
  5. Step 5: Solve for x
    x = 114,946,887.65/10,763.66
  6. Step 6: Final answer
    x = 10,679.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.