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Finding the Fourth Proportional to 10,503, 14,494.20 and 7,320.96

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Solution

The fourth proportional to 10,503, 14,494.20 and 7,320.96 is: 10,102.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503 : 14,494.20 = 7,320.96 : x
  2. Step 2: Convert to fraction form
    10,503/14,494.20 = 7,320.96/x
  3. Step 3: Cross multiply
    10,503x = 14,494.20 × 7,320.96
  4. Step 4: Simplify right side
    10,503x = 106,111,458.43
  5. Step 5: Solve for x
    x = 106,111,458.43/10,503
  6. Step 6: Final answer
    x = 10,102.97

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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.