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Finding the Fourth Proportional to 10,391.08, 15,588.22 and 3,465

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Solution

The fourth proportional to 10,391.08, 15,588.22 and 3,465 is: 5,198.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,391.08 : 15,588.22 = 3,465 : x
  2. Step 2: Convert to fraction form
    10,391.08/15,588.22 = 3,465/x
  3. Step 3: Cross multiply
    10,391.08x = 15,588.22 × 3,465
  4. Step 4: Simplify right side
    10,391.08x = 54,013,182.30
  5. Step 5: Solve for x
    x = 54,013,182.30/10,391.08
  6. Step 6: Final answer
    x = 5,198.03

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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.