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Finding the Fourth Proportional to 10,955.72, 16,407.24 and 6,261.50

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Solution

The fourth proportional to 10,955.72, 16,407.24 and 6,261.50 is: 9,377.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,955.72 : 16,407.24 = 6,261.50 : x
  2. Step 2: Convert to fraction form
    10,955.72/16,407.24 = 6,261.50/x
  3. Step 3: Cross multiply
    10,955.72x = 16,407.24 × 6,261.50
  4. Step 4: Simplify right side
    10,955.72x = 102,733,933.26
  5. Step 5: Solve for x
    x = 102,733,933.26/10,955.72
  6. Step 6: Final answer
    x = 9,377.20

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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.