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Finding the Fourth Proportional to 10,680.74, 14,744.40 and 7,146.26

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Solution

The fourth proportional to 10,680.74, 14,744.40 and 7,146.26 is: 9,865.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,680.74 : 14,744.40 = 7,146.26 : x
  2. Step 2: Convert to fraction form
    10,680.74/14,744.40 = 7,146.26/x
  3. Step 3: Cross multiply
    10,680.74x = 14,744.40 × 7,146.26
  4. Step 4: Simplify right side
    10,680.74x = 105,367,315.94
  5. Step 5: Solve for x
    x = 105,367,315.94/10,680.74
  6. Step 6: Final answer
    x = 9,865.17

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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.