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Finding the Fourth Proportional to 11,763.82, 16,232.88 and 7,047.98

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Solution

The fourth proportional to 11,763.82, 16,232.88 and 7,047.98 is: 9,725.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.82 : 16,232.88 = 7,047.98 : x
  2. Step 2: Convert to fraction form
    11,763.82/16,232.88 = 7,047.98/x
  3. Step 3: Cross multiply
    11,763.82x = 16,232.88 × 7,047.98
  4. Step 4: Simplify right side
    11,763.82x = 114,409,013.58
  5. Step 5: Solve for x
    x = 114,409,013.58/11,763.82
  6. Step 6: Final answer
    x = 9,725.50

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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.