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Finding the Fourth Proportional to 7,713.70, 11,554.35 and 4,246.90

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Solution

The fourth proportional to 7,713.70, 11,554.35 and 4,246.90 is: 6,361.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.70 : 11,554.35 = 4,246.90 : x
  2. Step 2: Convert to fraction form
    7,713.70/11,554.35 = 4,246.90/x
  3. Step 3: Cross multiply
    7,713.70x = 11,554.35 × 4,246.90
  4. Step 4: Simplify right side
    7,713.70x = 49,070,169.02
  5. Step 5: Solve for x
    x = 49,070,169.02/7,713.70
  6. Step 6: Final answer
    x = 6,361.43

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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.