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Finding the Fourth Proportional to 10,686.81, 14,734.31 and 6,903.57

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Solution

The fourth proportional to 10,686.81, 14,734.31 and 6,903.57 is: 9,518.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.81 : 14,734.31 = 6,903.57 : x
  2. Step 2: Convert to fraction form
    10,686.81/14,734.31 = 6,903.57/x
  3. Step 3: Cross multiply
    10,686.81x = 14,734.31 × 6,903.57
  4. Step 4: Simplify right side
    10,686.81x = 101,719,305.97
  5. Step 5: Solve for x
    x = 101,719,305.97/10,686.81
  6. Step 6: Final answer
    x = 9,518.21

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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.