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Finding the Fourth Proportional to 10,268.70, 14,168.76 and 6,077.22

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Solution

The fourth proportional to 10,268.70, 14,168.76 and 6,077.22 is: 8,385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,268.70 : 14,168.76 = 6,077.22 : x
  2. Step 2: Convert to fraction form
    10,268.70/14,168.76 = 6,077.22/x
  3. Step 3: Cross multiply
    10,268.70x = 14,168.76 × 6,077.22
  4. Step 4: Simplify right side
    10,268.70x = 86,106,671.65
  5. Step 5: Solve for x
    x = 86,106,671.65/10,268.70
  6. Step 6: Final answer
    x = 8,385.35

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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.