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Finding the Fourth Proportional to 10,588.67, 14,612.96 and 6,398.27

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Solution

The fourth proportional to 10,588.67, 14,612.96 and 6,398.27 is: 8,829.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.67 : 14,612.96 = 6,398.27 : x
  2. Step 2: Convert to fraction form
    10,588.67/14,612.96 = 6,398.27/x
  3. Step 3: Cross multiply
    10,588.67x = 14,612.96 × 6,398.27
  4. Step 4: Simplify right side
    10,588.67x = 93,497,606.51
  5. Step 5: Solve for x
    x = 93,497,606.51/10,588.67
  6. Step 6: Final answer
    x = 8,829.97

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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.