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Finding the Fourth Proportional to 10,767.63, 14,858.00 and 6,288.12

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Solution

The fourth proportional to 10,767.63, 14,858.00 and 6,288.12 is: 8,676.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.63 : 14,858.00 = 6,288.12 : x
  2. Step 2: Convert to fraction form
    10,767.63/14,858.00 = 6,288.12/x
  3. Step 3: Cross multiply
    10,767.63x = 14,858.00 × 6,288.12
  4. Step 4: Simplify right side
    10,767.63x = 93,428,855.52
  5. Step 5: Solve for x
    x = 93,428,855.52/10,767.63
  6. Step 6: Final answer
    x = 8,676.83

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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.