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Finding the Fourth Proportional to 8,461.10, 12,696.18 and 3,534.11

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Solution

The fourth proportional to 8,461.10, 12,696.18 and 3,534.11 is: 5,303.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.10 : 12,696.18 = 3,534.11 : x
  2. Step 2: Convert to fraction form
    8,461.10/12,696.18 = 3,534.11/x
  3. Step 3: Cross multiply
    8,461.10x = 12,696.18 × 3,534.11
  4. Step 4: Simplify right side
    8,461.10x = 44,869,696.70
  5. Step 5: Solve for x
    x = 44,869,696.70/8,461.10
  6. Step 6: Final answer
    x = 5,303.06

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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.