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Finding the Fourth Proportional to 11,460.81, 15,816.57 and 6,426.64

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Solution

The fourth proportional to 11,460.81, 15,816.57 and 6,426.64 is: 8,869.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,460.81 : 15,816.57 = 6,426.64 : x
  2. Step 2: Convert to fraction form
    11,460.81/15,816.57 = 6,426.64/x
  3. Step 3: Cross multiply
    11,460.81x = 15,816.57 × 6,426.64
  4. Step 4: Simplify right side
    11,460.81x = 101,647,397.10
  5. Step 5: Solve for x
    x = 101,647,397.10/11,460.81
  6. Step 6: Final answer
    x = 8,869.13

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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.