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Finding the Fourth Proportional to 10,957.24, 16,415.10 and 6,505.48

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Solution

The fourth proportional to 10,957.24, 16,415.10 and 6,505.48 is: 9,745.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.24 : 16,415.10 = 6,505.48 : x
  2. Step 2: Convert to fraction form
    10,957.24/16,415.10 = 6,505.48/x
  3. Step 3: Cross multiply
    10,957.24x = 16,415.10 × 6,505.48
  4. Step 4: Simplify right side
    10,957.24x = 106,788,104.75
  5. Step 5: Solve for x
    x = 106,788,104.75/10,957.24
  6. Step 6: Final answer
    x = 9,745.89

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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.