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Finding the Fourth Proportional to 10,689.20, 14,745.72 and 7,152.56

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Solution

The fourth proportional to 10,689.20, 14,745.72 and 7,152.56 is: 9,866.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.20 : 14,745.72 = 7,152.56 : x
  2. Step 2: Convert to fraction form
    10,689.20/14,745.72 = 7,152.56/x
  3. Step 3: Cross multiply
    10,689.20x = 14,745.72 × 7,152.56
  4. Step 4: Simplify right side
    10,689.20x = 105,469,647.04
  5. Step 5: Solve for x
    x = 105,469,647.04/10,689.20
  6. Step 6: Final answer
    x = 9,866.94

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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.