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Finding the Fourth Proportional to 10,705.71, 14,773.86 and 6,513.96

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Solution

The fourth proportional to 10,705.71, 14,773.86 and 6,513.96 is: 8,989.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.71 : 14,773.86 = 6,513.96 : x
  2. Step 2: Convert to fraction form
    10,705.71/14,773.86 = 6,513.96/x
  3. Step 3: Cross multiply
    10,705.71x = 14,773.86 × 6,513.96
  4. Step 4: Simplify right side
    10,705.71x = 96,236,333.09
  5. Step 5: Solve for x
    x = 96,236,333.09/10,705.71
  6. Step 6: Final answer
    x = 8,989.25

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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.