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Finding the Fourth Proportional to 7,889.71, 11,828.32 and 3,938.93

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Solution

The fourth proportional to 7,889.71, 11,828.32 and 3,938.93 is: 5,905.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.71 : 11,828.32 = 3,938.93 : x
  2. Step 2: Convert to fraction form
    7,889.71/11,828.32 = 3,938.93/x
  3. Step 3: Cross multiply
    7,889.71x = 11,828.32 × 3,938.93
  4. Step 4: Simplify right side
    7,889.71x = 46,590,924.50
  5. Step 5: Solve for x
    x = 46,590,924.50/7,889.71
  6. Step 6: Final answer
    x = 5,905.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.