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Finding the Fourth Proportional to 8,347.50, 12,527.60 and 3,087.49

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Solution

The fourth proportional to 8,347.50, 12,527.60 and 3,087.49 is: 4,633.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,347.50 : 12,527.60 = 3,087.49 : x
  2. Step 2: Convert to fraction form
    8,347.50/12,527.60 = 3,087.49/x
  3. Step 3: Cross multiply
    8,347.50x = 12,527.60 × 3,087.49
  4. Step 4: Simplify right side
    8,347.50x = 38,678,839.61
  5. Step 5: Solve for x
    x = 38,678,839.61/8,347.50
  6. Step 6: Final answer
    x = 4,633.58

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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.