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Finding the Fourth Proportional to 10,343.59, 14,274.09 and 5,627.89

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Solution

The fourth proportional to 10,343.59, 14,274.09 and 5,627.89 is: 7,766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.59 : 14,274.09 = 5,627.89 : x
  2. Step 2: Convert to fraction form
    10,343.59/14,274.09 = 5,627.89/x
  3. Step 3: Cross multiply
    10,343.59x = 14,274.09 × 5,627.89
  4. Step 4: Simplify right side
    10,343.59x = 80,333,008.37
  5. Step 5: Solve for x
    x = 80,333,008.37/10,343.59
  6. Step 6: Final answer
    x = 7,766.45

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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.