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Finding the Fourth Proportional to 10,753.56, 14,833.44 and 6,501.60

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Solution

The fourth proportional to 10,753.56, 14,833.44 and 6,501.60 is: 8,968.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,753.56 : 14,833.44 = 6,501.60 : x
  2. Step 2: Convert to fraction form
    10,753.56/14,833.44 = 6,501.60/x
  3. Step 3: Cross multiply
    10,753.56x = 14,833.44 × 6,501.60
  4. Step 4: Simplify right side
    10,753.56x = 96,441,093.50
  5. Step 5: Solve for x
    x = 96,441,093.50/10,753.56
  6. Step 6: Final answer
    x = 8,968.29

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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.