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Finding the Fourth Proportional to 10,476.66, 15,683.78 and 6,768.06

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Solution

The fourth proportional to 10,476.66, 15,683.78 and 6,768.06 is: 10,131.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.66 : 15,683.78 = 6,768.06 : x
  2. Step 2: Convert to fraction form
    10,476.66/15,683.78 = 6,768.06/x
  3. Step 3: Cross multiply
    10,476.66x = 15,683.78 × 6,768.06
  4. Step 4: Simplify right side
    10,476.66x = 106,148,764.07
  5. Step 5: Solve for x
    x = 106,148,764.07/10,476.66
  6. Step 6: Final answer
    x = 10,131.93

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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.