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Finding the Fourth Proportional to 10,310.52, 15,465.06 and 3,290.40

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Solution

The fourth proportional to 10,310.52, 15,465.06 and 3,290.40 is: 4,935.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.52 : 15,465.06 = 3,290.40 : x
  2. Step 2: Convert to fraction form
    10,310.52/15,465.06 = 3,290.40/x
  3. Step 3: Cross multiply
    10,310.52x = 15,465.06 × 3,290.40
  4. Step 4: Simplify right side
    10,310.52x = 50,886,233.42
  5. Step 5: Solve for x
    x = 50,886,233.42/10,310.52
  6. Step 6: Final answer
    x = 4,935.37

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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.