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Finding the Fourth Proportional to 8,261, 11,396.93 and 4,722.31

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Solution

The fourth proportional to 8,261, 11,396.93 and 4,722.31 is: 6,514.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261 : 11,396.93 = 4,722.31 : x
  2. Step 2: Convert to fraction form
    8,261/11,396.93 = 4,722.31/x
  3. Step 3: Cross multiply
    8,261x = 11,396.93 × 4,722.31
  4. Step 4: Simplify right side
    8,261x = 53,819,836.51
  5. Step 5: Solve for x
    x = 53,819,836.51/8,261
  6. Step 6: Final answer
    x = 6,514.93

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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.