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Finding the Fourth Proportional to 11,766.16, 16,239 and 7,050.88

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Solution

The fourth proportional to 11,766.16, 16,239 and 7,050.88 is: 9,731.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.16 : 16,239 = 7,050.88 : x
  2. Step 2: Convert to fraction form
    11,766.16/16,239 = 7,050.88/x
  3. Step 3: Cross multiply
    11,766.16x = 16,239 × 7,050.88
  4. Step 4: Simplify right side
    11,766.16x = 114,499,240.32
  5. Step 5: Solve for x
    x = 114,499,240.32/11,766.16
  6. Step 6: Final answer
    x = 9,731.23

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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.