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Finding the Fourth Proportional to 11,463.14, 15,821.95 and 6,989.36

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Solution

The fourth proportional to 11,463.14, 15,821.95 and 6,989.36 is: 9,647.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.14 : 15,821.95 = 6,989.36 : x
  2. Step 2: Convert to fraction form
    11,463.14/15,821.95 = 6,989.36/x
  3. Step 3: Cross multiply
    11,463.14x = 15,821.95 × 6,989.36
  4. Step 4: Simplify right side
    11,463.14x = 110,585,304.45
  5. Step 5: Solve for x
    x = 110,585,304.45/11,463.14
  6. Step 6: Final answer
    x = 9,647.03

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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.