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Finding the Fourth Proportional to 7,777.40, 11,661.82 and 5,315

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Solution

The fourth proportional to 7,777.40, 11,661.82 and 5,315 is: 7,969.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.40 : 11,661.82 = 5,315 : x
  2. Step 2: Convert to fraction form
    7,777.40/11,661.82 = 5,315/x
  3. Step 3: Cross multiply
    7,777.40x = 11,661.82 × 5,315
  4. Step 4: Simplify right side
    7,777.40x = 61,982,573.30
  5. Step 5: Solve for x
    x = 61,982,573.30/7,777.40
  6. Step 6: Final answer
    x = 7,969.58

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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.