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Finding the Fourth Proportional to 10,354.92, 15,539.07 and 4,810.88

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Solution

The fourth proportional to 10,354.92, 15,539.07 and 4,810.88 is: 7,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.92 : 15,539.07 = 4,810.88 : x
  2. Step 2: Convert to fraction form
    10,354.92/15,539.07 = 4,810.88/x
  3. Step 3: Cross multiply
    10,354.92x = 15,539.07 × 4,810.88
  4. Step 4: Simplify right side
    10,354.92x = 74,756,523.39
  5. Step 5: Solve for x
    x = 74,756,523.39/10,354.92
  6. Step 6: Final answer
    x = 7,219.42

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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.