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Finding the Fourth Proportional to 7,751.40, 11,615.58 and 7,486.44

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Solution

The fourth proportional to 7,751.40, 11,615.58 and 7,486.44 is: 11,218.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.40 : 11,615.58 = 7,486.44 : x
  2. Step 2: Convert to fraction form
    7,751.40/11,615.58 = 7,486.44/x
  3. Step 3: Cross multiply
    7,751.40x = 11,615.58 × 7,486.44
  4. Step 4: Simplify right side
    7,751.40x = 86,959,342.74
  5. Step 5: Solve for x
    x = 86,959,342.74/7,751.40
  6. Step 6: Final answer
    x = 11,218.53

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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.