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Finding the Fourth Proportional to 10,485.57, 15,725.27 and 3,089.87

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Solution

The fourth proportional to 10,485.57, 15,725.27 and 3,089.87 is: 4,633.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.57 : 15,725.27 = 3,089.87 : x
  2. Step 2: Convert to fraction form
    10,485.57/15,725.27 = 3,089.87/x
  3. Step 3: Cross multiply
    10,485.57x = 15,725.27 × 3,089.87
  4. Step 4: Simplify right side
    10,485.57x = 48,588,945.94
  5. Step 5: Solve for x
    x = 48,588,945.94/10,485.57
  6. Step 6: Final answer
    x = 4,633.89

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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.