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Finding the Fourth Proportional to 10,609.68, 15,916.48 and 3,494.32

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Solution

The fourth proportional to 10,609.68, 15,916.48 and 3,494.32 is: 5,242.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.68 : 15,916.48 = 3,494.32 : x
  2. Step 2: Convert to fraction form
    10,609.68/15,916.48 = 3,494.32/x
  3. Step 3: Cross multiply
    10,609.68x = 15,916.48 × 3,494.32
  4. Step 4: Simplify right side
    10,609.68x = 55,617,274.39
  5. Step 5: Solve for x
    x = 55,617,274.39/10,609.68
  6. Step 6: Final answer
    x = 5,242.13

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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.