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Finding the Fourth Proportional to 10,858.74, 14,984.34 and 6,077.88

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Solution

The fourth proportional to 10,858.74, 14,984.34 and 6,077.88 is: 8,387.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,858.74 : 14,984.34 = 6,077.88 : x
  2. Step 2: Convert to fraction form
    10,858.74/14,984.34 = 6,077.88/x
  3. Step 3: Cross multiply
    10,858.74x = 14,984.34 × 6,077.88
  4. Step 4: Simplify right side
    10,858.74x = 91,073,020.40
  5. Step 5: Solve for x
    x = 91,073,020.40/10,858.74
  6. Step 6: Final answer
    x = 8,387.07

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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.