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Finding the Fourth Proportional to 10,465.26, 15,700.06 and 3,069.96

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Solution

The fourth proportional to 10,465.26, 15,700.06 and 3,069.96 is: 4,605.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.26 : 15,700.06 = 3,069.96 : x
  2. Step 2: Convert to fraction form
    10,465.26/15,700.06 = 3,069.96/x
  3. Step 3: Cross multiply
    10,465.26x = 15,700.06 × 3,069.96
  4. Step 4: Simplify right side
    10,465.26x = 48,198,556.20
  5. Step 5: Solve for x
    x = 48,198,556.20/10,465.26
  6. Step 6: Final answer
    x = 4,605.58

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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.