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Finding the Fourth Proportional to 10,636.11, 14,678.49 and 8,864.64

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Solution

The fourth proportional to 10,636.11, 14,678.49 and 8,864.64 is: 12,233.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,636.11 : 14,678.49 = 8,864.64 : x
  2. Step 2: Convert to fraction form
    10,636.11/14,678.49 = 8,864.64/x
  3. Step 3: Cross multiply
    10,636.11x = 14,678.49 × 8,864.64
  4. Step 4: Simplify right side
    10,636.11x = 130,119,529.59
  5. Step 5: Solve for x
    x = 130,119,529.59/10,636.11
  6. Step 6: Final answer
    x = 12,233.75

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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.