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Finding the Fourth Proportional to 10,310.74, 15,465.23 and 3,290.47

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Solution

The fourth proportional to 10,310.74, 15,465.23 and 3,290.47 is: 4,935.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.74 : 15,465.23 = 3,290.47 : x
  2. Step 2: Convert to fraction form
    10,310.74/15,465.23 = 3,290.47/x
  3. Step 3: Cross multiply
    10,310.74x = 15,465.23 × 3,290.47
  4. Step 4: Simplify right side
    10,310.74x = 50,887,875.36
  5. Step 5: Solve for x
    x = 50,887,875.36/10,310.74
  6. Step 6: Final answer
    x = 4,935.42

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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.