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Finding the Fourth Proportional to 10,245.80, 15,368.70 and 6,309.20

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Solution

The fourth proportional to 10,245.80, 15,368.70 and 6,309.20 is: 9,463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245.80 : 15,368.70 = 6,309.20 : x
  2. Step 2: Convert to fraction form
    10,245.80/15,368.70 = 6,309.20/x
  3. Step 3: Cross multiply
    10,245.80x = 15,368.70 × 6,309.20
  4. Step 4: Simplify right side
    10,245.80x = 96,964,202.04
  5. Step 5: Solve for x
    x = 96,964,202.04/10,245.80
  6. Step 6: Final answer
    x = 9,463.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.