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Finding the Fourth Proportional to 10,855.90, 14,980.71 and 6,141.16

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Solution

The fourth proportional to 10,855.90, 14,980.71 and 6,141.16 is: 8,474.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855.90 : 14,980.71 = 6,141.16 : x
  2. Step 2: Convert to fraction form
    10,855.90/14,980.71 = 6,141.16/x
  3. Step 3: Cross multiply
    10,855.90x = 14,980.71 × 6,141.16
  4. Step 4: Simplify right side
    10,855.90x = 91,998,937.02
  5. Step 5: Solve for x
    x = 91,998,937.02/10,855.90
  6. Step 6: Final answer
    x = 8,474.56

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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.