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Finding the Fourth Proportional to 10,799.92, 14,903.76 and 6,085

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Solution

The fourth proportional to 10,799.92, 14,903.76 and 6,085 is: 8,397.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,799.92 : 14,903.76 = 6,085 : x
  2. Step 2: Convert to fraction form
    10,799.92/14,903.76 = 6,085/x
  3. Step 3: Cross multiply
    10,799.92x = 14,903.76 × 6,085
  4. Step 4: Simplify right side
    10,799.92x = 90,689,379.60
  5. Step 5: Solve for x
    x = 90,689,379.60/10,799.92
  6. Step 6: Final answer
    x = 8,397.23

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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.