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Finding the Fourth Proportional to 8,754, 13,043.46 and 8,083.32

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Solution

The fourth proportional to 8,754, 13,043.46 and 8,083.32 is: 12,044.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,754 : 13,043.46 = 8,083.32 : x
  2. Step 2: Convert to fraction form
    8,754/13,043.46 = 8,083.32/x
  3. Step 3: Cross multiply
    8,754x = 13,043.46 × 8,083.32
  4. Step 4: Simplify right side
    8,754x = 105,434,461.09
  5. Step 5: Solve for x
    x = 105,434,461.09/8,754
  6. Step 6: Final answer
    x = 12,044.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.