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Finding the Fourth Proportional to 10,767.13, 14,855.29 and 6,287.65

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Solution

The fourth proportional to 10,767.13, 14,855.29 and 6,287.65 is: 8,675.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.13 : 14,855.29 = 6,287.65 : x
  2. Step 2: Convert to fraction form
    10,767.13/14,855.29 = 6,287.65/x
  3. Step 3: Cross multiply
    10,767.13x = 14,855.29 × 6,287.65
  4. Step 4: Simplify right side
    10,767.13x = 93,404,864.17
  5. Step 5: Solve for x
    x = 93,404,864.17/10,767.13
  6. Step 6: Final answer
    x = 8,675.00

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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.