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Finding the Fourth Proportional to 8,463.60, 12,696.58 and 3,532.11

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Solution

The fourth proportional to 8,463.60, 12,696.58 and 3,532.11 is: 5,298.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.60 : 12,696.58 = 3,532.11 : x
  2. Step 2: Convert to fraction form
    8,463.60/12,696.58 = 3,532.11/x
  3. Step 3: Cross multiply
    8,463.60x = 12,696.58 × 3,532.11
  4. Step 4: Simplify right side
    8,463.60x = 44,845,717.18
  5. Step 5: Solve for x
    x = 44,845,717.18/8,463.60
  6. Step 6: Final answer
    x = 5,298.66

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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.