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Finding the Fourth Proportional to 10,302.18, 15,508.96 and 9,383.64

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Solution

The fourth proportional to 10,302.18, 15,508.96 and 9,383.64 is: 14,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.18 : 15,508.96 = 9,383.64 : x
  2. Step 2: Convert to fraction form
    10,302.18/15,508.96 = 9,383.64/x
  3. Step 3: Cross multiply
    10,302.18x = 15,508.96 × 9,383.64
  4. Step 4: Simplify right side
    10,302.18x = 145,530,497.41
  5. Step 5: Solve for x
    x = 145,530,497.41/10,302.18
  6. Step 6: Final answer
    x = 14,126.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.