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Finding the Fourth Proportional to 10,290.44, 15,423.82 and 4,047.01

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Solution

The fourth proportional to 10,290.44, 15,423.82 and 4,047.01 is: 6,065.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290.44 : 15,423.82 = 4,047.01 : x
  2. Step 2: Convert to fraction form
    10,290.44/15,423.82 = 4,047.01/x
  3. Step 3: Cross multiply
    10,290.44x = 15,423.82 × 4,047.01
  4. Step 4: Simplify right side
    10,290.44x = 62,420,391.86
  5. Step 5: Solve for x
    x = 62,420,391.86/10,290.44
  6. Step 6: Final answer
    x = 6,065.86

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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.