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Finding the Fourth Proportional to 10,796.65, 14,901.28 and 8,084.77

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Solution

The fourth proportional to 10,796.65, 14,901.28 and 8,084.77 is: 11,158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796.65 : 14,901.28 = 8,084.77 : x
  2. Step 2: Convert to fraction form
    10,796.65/14,901.28 = 8,084.77/x
  3. Step 3: Cross multiply
    10,796.65x = 14,901.28 × 8,084.77
  4. Step 4: Simplify right side
    10,796.65x = 120,473,306.58
  5. Step 5: Solve for x
    x = 120,473,306.58/10,796.65
  6. Step 6: Final answer
    x = 11,158.40

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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.