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Finding the Fourth Proportional to 10,256.73, 14,157.81 and 6,009.16

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Solution

The fourth proportional to 10,256.73, 14,157.81 and 6,009.16 is: 8,294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.73 : 14,157.81 = 6,009.16 : x
  2. Step 2: Convert to fraction form
    10,256.73/14,157.81 = 6,009.16/x
  3. Step 3: Cross multiply
    10,256.73x = 14,157.81 × 6,009.16
  4. Step 4: Simplify right side
    10,256.73x = 85,076,545.54
  5. Step 5: Solve for x
    x = 85,076,545.54/10,256.73
  6. Step 6: Final answer
    x = 8,294.70

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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.