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Finding the Fourth Proportional to 10,338.30, 15,463.68 and 7,014.06

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Solution

The fourth proportional to 10,338.30, 15,463.68 and 7,014.06 is: 10,491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.30 : 15,463.68 = 7,014.06 : x
  2. Step 2: Convert to fraction form
    10,338.30/15,463.68 = 7,014.06/x
  3. Step 3: Cross multiply
    10,338.30x = 15,463.68 × 7,014.06
  4. Step 4: Simplify right side
    10,338.30x = 108,463,179.34
  5. Step 5: Solve for x
    x = 108,463,179.34/10,338.30
  6. Step 6: Final answer
    x = 10,491.39

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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.