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Finding the Fourth Proportional to 7,701.84, 11,542.30 and 4,368.52

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Solution

The fourth proportional to 7,701.84, 11,542.30 and 4,368.52 is: 6,546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.84 : 11,542.30 = 4,368.52 : x
  2. Step 2: Convert to fraction form
    7,701.84/11,542.30 = 4,368.52/x
  3. Step 3: Cross multiply
    7,701.84x = 11,542.30 × 4,368.52
  4. Step 4: Simplify right side
    7,701.84x = 50,422,768.40
  5. Step 5: Solve for x
    x = 50,422,768.40/7,701.84
  6. Step 6: Final answer
    x = 6,546.85

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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.