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Finding the Fourth Proportional to 8,359.98, 11,532.69 and 7,033.20

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Solution

The fourth proportional to 8,359.98, 11,532.69 and 7,033.20 is: 9,702.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,359.98 : 11,532.69 = 7,033.20 : x
  2. Step 2: Convert to fraction form
    8,359.98/11,532.69 = 7,033.20/x
  3. Step 3: Cross multiply
    8,359.98x = 11,532.69 × 7,033.20
  4. Step 4: Simplify right side
    8,359.98x = 81,111,715.31
  5. Step 5: Solve for x
    x = 81,111,715.31/8,359.98
  6. Step 6: Final answer
    x = 9,702.38

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Why These Related Problems?

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