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Finding the Fourth Proportional to 10,065.09, 15,098.04 and 5,682.45

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Solution

The fourth proportional to 10,065.09, 15,098.04 and 5,682.45 is: 8,523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.09 : 15,098.04 = 5,682.45 : x
  2. Step 2: Convert to fraction form
    10,065.09/15,098.04 = 5,682.45/x
  3. Step 3: Cross multiply
    10,065.09x = 15,098.04 × 5,682.45
  4. Step 4: Simplify right side
    10,065.09x = 85,793,857.40
  5. Step 5: Solve for x
    x = 85,793,857.40/10,065.09
  6. Step 6: Final answer
    x = 8,523.90

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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.