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Finding the Fourth Proportional to 10,035.28, 13,858.07 and 6,456.47

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Solution

The fourth proportional to 10,035.28, 13,858.07 and 6,456.47 is: 8,915.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035.28 : 13,858.07 = 6,456.47 : x
  2. Step 2: Convert to fraction form
    10,035.28/13,858.07 = 6,456.47/x
  3. Step 3: Cross multiply
    10,035.28x = 13,858.07 × 6,456.47
  4. Step 4: Simplify right side
    10,035.28x = 89,474,111.64
  5. Step 5: Solve for x
    x = 89,474,111.64/10,035.28
  6. Step 6: Final answer
    x = 8,915.96

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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.