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Finding the Fourth Proportional to 10,043.85, 15,065.69 and 3,023.84

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Solution

The fourth proportional to 10,043.85, 15,065.69 and 3,023.84 is: 4,535.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,043.85 : 15,065.69 = 3,023.84 : x
  2. Step 2: Convert to fraction form
    10,043.85/15,065.69 = 3,023.84/x
  3. Step 3: Cross multiply
    10,043.85x = 15,065.69 × 3,023.84
  4. Step 4: Simplify right side
    10,043.85x = 45,556,281.27
  5. Step 5: Solve for x
    x = 45,556,281.27/10,043.85
  6. Step 6: Final answer
    x = 4,535.74

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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.