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Finding the Fourth Proportional to 10,585.68, 15,880.14 and 3,189.16

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Solution

The fourth proportional to 10,585.68, 15,880.14 and 3,189.16 is: 4,784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.68 : 15,880.14 = 3,189.16 : x
  2. Step 2: Convert to fraction form
    10,585.68/15,880.14 = 3,189.16/x
  3. Step 3: Cross multiply
    10,585.68x = 15,880.14 × 3,189.16
  4. Step 4: Simplify right side
    10,585.68x = 50,644,307.28
  5. Step 5: Solve for x
    x = 50,644,307.28/10,585.68
  6. Step 6: Final answer
    x = 4,784.23

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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.