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Finding the Fourth Proportional to 10,703.66, 14,769.89 and 6,228.32

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Solution

The fourth proportional to 10,703.66, 14,769.89 and 6,228.32 is: 8,594.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.66 : 14,769.89 = 6,228.32 : x
  2. Step 2: Convert to fraction form
    10,703.66/14,769.89 = 6,228.32/x
  3. Step 3: Cross multiply
    10,703.66x = 14,769.89 × 6,228.32
  4. Step 4: Simplify right side
    10,703.66x = 91,991,496.29
  5. Step 5: Solve for x
    x = 91,991,496.29/10,703.66
  6. Step 6: Final answer
    x = 8,594.40

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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.