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Finding the Fourth Proportional to 10,367.65, 15,546.21 and 5,103.06

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Solution

The fourth proportional to 10,367.65, 15,546.21 and 5,103.06 is: 7,652.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.65 : 15,546.21 = 5,103.06 : x
  2. Step 2: Convert to fraction form
    10,367.65/15,546.21 = 5,103.06/x
  3. Step 3: Cross multiply
    10,367.65x = 15,546.21 × 5,103.06
  4. Step 4: Simplify right side
    10,367.65x = 79,333,242.40
  5. Step 5: Solve for x
    x = 79,333,242.40/10,367.65
  6. Step 6: Final answer
    x = 7,652.00

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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.