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Finding the Fourth Proportional to 10,626.79, 14,656.73 and 6,850.57

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Solution

The fourth proportional to 10,626.79, 14,656.73 and 6,850.57 is: 9,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,626.79 : 14,656.73 = 6,850.57 : x
  2. Step 2: Convert to fraction form
    10,626.79/14,656.73 = 6,850.57/x
  3. Step 3: Cross multiply
    10,626.79x = 14,656.73 × 6,850.57
  4. Step 4: Simplify right side
    10,626.79x = 100,406,954.84
  5. Step 5: Solve for x
    x = 100,406,954.84/10,626.79
  6. Step 6: Final answer
    x = 9,448.47

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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.