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Finding the Fourth Proportional to 7,713.41, 10,647.30 and 5,061.68

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Solution

The fourth proportional to 7,713.41, 10,647.30 and 5,061.68 is: 6,986.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.41 : 10,647.30 = 5,061.68 : x
  2. Step 2: Convert to fraction form
    7,713.41/10,647.30 = 5,061.68/x
  3. Step 3: Cross multiply
    7,713.41x = 10,647.30 × 5,061.68
  4. Step 4: Simplify right side
    7,713.41x = 53,893,172.23
  5. Step 5: Solve for x
    x = 53,893,172.23/7,713.41
  6. Step 6: Final answer
    x = 6,986.95

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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.