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Finding the Fourth Proportional to 10,814.48, 16,209.72 and 4,965.20

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Solution

The fourth proportional to 10,814.48, 16,209.72 and 4,965.20 is: 7,442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.48 : 16,209.72 = 4,965.20 : x
  2. Step 2: Convert to fraction form
    10,814.48/16,209.72 = 4,965.20/x
  3. Step 3: Cross multiply
    10,814.48x = 16,209.72 × 4,965.20
  4. Step 4: Simplify right side
    10,814.48x = 80,484,501.74
  5. Step 5: Solve for x
    x = 80,484,501.74/10,814.48
  6. Step 6: Final answer
    x = 7,442.29

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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.