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Finding the Fourth Proportional to 8,510.94, 11,744.88 and 4,734.11

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Solution

The fourth proportional to 8,510.94, 11,744.88 and 4,734.11 is: 6,532.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.94 : 11,744.88 = 4,734.11 : x
  2. Step 2: Convert to fraction form
    8,510.94/11,744.88 = 4,734.11/x
  3. Step 3: Cross multiply
    8,510.94x = 11,744.88 × 4,734.11
  4. Step 4: Simplify right side
    8,510.94x = 55,601,495.13
  5. Step 5: Solve for x
    x = 55,601,495.13/8,510.94
  6. Step 6: Final answer
    x = 6,532.95

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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.