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Finding the Fourth Proportional to 10,033.47, 13,846.15 and 5,784.50

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Solution

The fourth proportional to 10,033.47, 13,846.15 and 5,784.50 is: 7,982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.47 : 13,846.15 = 5,784.50 : x
  2. Step 2: Convert to fraction form
    10,033.47/13,846.15 = 5,784.50/x
  3. Step 3: Cross multiply
    10,033.47x = 13,846.15 × 5,784.50
  4. Step 4: Simplify right side
    10,033.47x = 80,092,956.52
  5. Step 5: Solve for x
    x = 80,092,956.52/10,033.47
  6. Step 6: Final answer
    x = 7,982.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.