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Finding the Fourth Proportional to 10,548.80, 14,557.65 and 5,769.02

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Solution

The fourth proportional to 10,548.80, 14,557.65 and 5,769.02 is: 7,961.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,548.80 : 14,557.65 = 5,769.02 : x
  2. Step 2: Convert to fraction form
    10,548.80/14,557.65 = 5,769.02/x
  3. Step 3: Cross multiply
    10,548.80x = 14,557.65 × 5,769.02
  4. Step 4: Simplify right side
    10,548.80x = 83,983,301.21
  5. Step 5: Solve for x
    x = 83,983,301.21/10,548.80
  6. Step 6: Final answer
    x = 7,961.41

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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.