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Finding the Fourth Proportional to 10,674.81, 14,731.17 and 5,895.05

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Solution

The fourth proportional to 10,674.81, 14,731.17 and 5,895.05 is: 8,135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.81 : 14,731.17 = 5,895.05 : x
  2. Step 2: Convert to fraction form
    10,674.81/14,731.17 = 5,895.05/x
  3. Step 3: Cross multiply
    10,674.81x = 14,731.17 × 5,895.05
  4. Step 4: Simplify right side
    10,674.81x = 86,840,983.71
  5. Step 5: Solve for x
    x = 86,840,983.71/10,674.81
  6. Step 6: Final answer
    x = 8,135.13

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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.