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Finding the Fourth Proportional to 10,703.20, 14,769.84 and 6,723.04

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Solution

The fourth proportional to 10,703.20, 14,769.84 and 6,723.04 is: 9,277.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.20 : 14,769.84 = 6,723.04 : x
  2. Step 2: Convert to fraction form
    10,703.20/14,769.84 = 6,723.04/x
  3. Step 3: Cross multiply
    10,703.20x = 14,769.84 × 6,723.04
  4. Step 4: Simplify right side
    10,703.20x = 99,298,225.11
  5. Step 5: Solve for x
    x = 99,298,225.11/10,703.20
  6. Step 6: Final answer
    x = 9,277.43

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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.