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Finding the Fourth Proportional to 10,649.96, 14,693.46 and 6,456.68

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Solution

The fourth proportional to 10,649.96, 14,693.46 and 6,456.68 is: 8,908.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.96 : 14,693.46 = 6,456.68 : x
  2. Step 2: Convert to fraction form
    10,649.96/14,693.46 = 6,456.68/x
  3. Step 3: Cross multiply
    10,649.96x = 14,693.46 × 6,456.68
  4. Step 4: Simplify right side
    10,649.96x = 94,870,969.31
  5. Step 5: Solve for x
    x = 94,870,969.31/10,649.96
  6. Step 6: Final answer
    x = 8,908.11

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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.