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Finding the Fourth Proportional to 7,924.48, 11,889.42 and 5,302.60

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Solution

The fourth proportional to 7,924.48, 11,889.42 and 5,302.60 is: 7,955.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.48 : 11,889.42 = 5,302.60 : x
  2. Step 2: Convert to fraction form
    7,924.48/11,889.42 = 5,302.60/x
  3. Step 3: Cross multiply
    7,924.48x = 11,889.42 × 5,302.60
  4. Step 4: Simplify right side
    7,924.48x = 63,044,838.49
  5. Step 5: Solve for x
    x = 63,044,838.49/7,924.48
  6. Step 6: Final answer
    x = 7,955.71

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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.