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Finding the Fourth Proportional to 11,780.25, 16,261.01 and 7,802.65

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Solution

The fourth proportional to 11,780.25, 16,261.01 and 7,802.65 is: 10,770.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.25 : 16,261.01 = 7,802.65 : x
  2. Step 2: Convert to fraction form
    11,780.25/16,261.01 = 7,802.65/x
  3. Step 3: Cross multiply
    11,780.25x = 16,261.01 × 7,802.65
  4. Step 4: Simplify right side
    11,780.25x = 126,878,969.68
  5. Step 5: Solve for x
    x = 126,878,969.68/11,780.25
  6. Step 6: Final answer
    x = 10,770.48

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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.