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Finding the Fourth Proportional to 8,538.58, 12,809.76 and 3,344.50

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Solution

The fourth proportional to 8,538.58, 12,809.76 and 3,344.50 is: 5,017.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.58 : 12,809.76 = 3,344.50 : x
  2. Step 2: Convert to fraction form
    8,538.58/12,809.76 = 3,344.50/x
  3. Step 3: Cross multiply
    8,538.58x = 12,809.76 × 3,344.50
  4. Step 4: Simplify right side
    8,538.58x = 42,842,242.32
  5. Step 5: Solve for x
    x = 42,842,242.32/8,538.58
  6. Step 6: Final answer
    x = 5,017.49

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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.