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Finding the Fourth Proportional to 10,452.63, 15,678.99 and 3,531.99

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Solution

The fourth proportional to 10,452.63, 15,678.99 and 3,531.99 is: 5,298.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.63 : 15,678.99 = 3,531.99 : x
  2. Step 2: Convert to fraction form
    10,452.63/15,678.99 = 3,531.99/x
  3. Step 3: Cross multiply
    10,452.63x = 15,678.99 × 3,531.99
  4. Step 4: Simplify right side
    10,452.63x = 55,378,035.89
  5. Step 5: Solve for x
    x = 55,378,035.89/10,452.63
  6. Step 6: Final answer
    x = 5,298.00

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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.