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Finding the Fourth Proportional to 10,309.66, 15,465.68 and 3,287.20

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Solution

The fourth proportional to 10,309.66, 15,465.68 and 3,287.20 is: 4,931.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.66 : 15,465.68 = 3,287.20 : x
  2. Step 2: Convert to fraction form
    10,309.66/15,465.68 = 3,287.20/x
  3. Step 3: Cross multiply
    10,309.66x = 15,465.68 × 3,287.20
  4. Step 4: Simplify right side
    10,309.66x = 50,838,783.30
  5. Step 5: Solve for x
    x = 50,838,783.30/10,309.66
  6. Step 6: Final answer
    x = 4,931.18

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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.