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Finding the Fourth Proportional to 10,242.40, 14,135.86 and 5,767.03

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Solution

The fourth proportional to 10,242.40, 14,135.86 and 5,767.03 is: 7,959.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.40 : 14,135.86 = 5,767.03 : x
  2. Step 2: Convert to fraction form
    10,242.40/14,135.86 = 5,767.03/x
  3. Step 3: Cross multiply
    10,242.40x = 14,135.86 × 5,767.03
  4. Step 4: Simplify right side
    10,242.40x = 81,521,932.65
  5. Step 5: Solve for x
    x = 81,521,932.65/10,242.40
  6. Step 6: Final answer
    x = 7,959.26

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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.