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Finding the Fourth Proportional to 10,226.49, 15,330.02 and 6,518.31

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Solution

The fourth proportional to 10,226.49, 15,330.02 and 6,518.31 is: 9,771.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.49 : 15,330.02 = 6,518.31 : x
  2. Step 2: Convert to fraction form
    10,226.49/15,330.02 = 6,518.31/x
  3. Step 3: Cross multiply
    10,226.49x = 15,330.02 × 6,518.31
  4. Step 4: Simplify right side
    10,226.49x = 99,925,790.07
  5. Step 5: Solve for x
    x = 99,925,790.07/10,226.49
  6. Step 6: Final answer
    x = 9,771.27

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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.