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Finding the Fourth Proportional to 10,274.80, 14,175.42 and 7,592.48

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Solution

The fourth proportional to 10,274.80, 14,175.42 and 7,592.48 is: 10,474.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.80 : 14,175.42 = 7,592.48 : x
  2. Step 2: Convert to fraction form
    10,274.80/14,175.42 = 7,592.48/x
  3. Step 3: Cross multiply
    10,274.80x = 14,175.42 × 7,592.48
  4. Step 4: Simplify right side
    10,274.80x = 107,626,592.84
  5. Step 5: Solve for x
    x = 107,626,592.84/10,274.80
  6. Step 6: Final answer
    x = 10,474.81

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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.