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Finding the Fourth Proportional to 10,613.04, 15,916.23 and 3,591.75

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Solution

The fourth proportional to 10,613.04, 15,916.23 and 3,591.75 is: 5,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.04 : 15,916.23 = 3,591.75 : x
  2. Step 2: Convert to fraction form
    10,613.04/15,916.23 = 3,591.75/x
  3. Step 3: Cross multiply
    10,613.04x = 15,916.23 × 3,591.75
  4. Step 4: Simplify right side
    10,613.04x = 57,167,119.10
  5. Step 5: Solve for x
    x = 57,167,119.10/10,613.04
  6. Step 6: Final answer
    x = 5,386.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.