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Finding the Fourth Proportional to 10,485.02, 14,468.82 and 5,769.20

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Solution

The fourth proportional to 10,485.02, 14,468.82 and 5,769.20 is: 7,961.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.02 : 14,468.82 = 5,769.20 : x
  2. Step 2: Convert to fraction form
    10,485.02/14,468.82 = 5,769.20/x
  3. Step 3: Cross multiply
    10,485.02x = 14,468.82 × 5,769.20
  4. Step 4: Simplify right side
    10,485.02x = 83,473,516.34
  5. Step 5: Solve for x
    x = 83,473,516.34/10,485.02
  6. Step 6: Final answer
    x = 7,961.22

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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.