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Finding the Fourth Proportional to 10,289.52, 14,199.52 and 5,573.92

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Solution

The fourth proportional to 10,289.52, 14,199.52 and 5,573.92 is: 7,692.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.52 : 14,199.52 = 5,573.92 : x
  2. Step 2: Convert to fraction form
    10,289.52/14,199.52 = 5,573.92/x
  3. Step 3: Cross multiply
    10,289.52x = 14,199.52 × 5,573.92
  4. Step 4: Simplify right side
    10,289.52x = 79,146,988.52
  5. Step 5: Solve for x
    x = 79,146,988.52/10,289.52
  6. Step 6: Final answer
    x = 7,692.00

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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.