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Finding the Fourth Proportional to 8,541.84, 12,812.72 and 2,698.44

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Solution

The fourth proportional to 8,541.84, 12,812.72 and 2,698.44 is: 4,047.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.84 : 12,812.72 = 2,698.44 : x
  2. Step 2: Convert to fraction form
    8,541.84/12,812.72 = 2,698.44/x
  3. Step 3: Cross multiply
    8,541.84x = 12,812.72 × 2,698.44
  4. Step 4: Simplify right side
    8,541.84x = 34,574,356.16
  5. Step 5: Solve for x
    x = 34,574,356.16/8,541.84
  6. Step 6: Final answer
    x = 4,047.65

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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.