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Finding the Fourth Proportional to 8,532.84, 12,811.16 and 4,375.72

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Solution

The fourth proportional to 8,532.84, 12,811.16 and 4,375.72 is: 6,569.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.84 : 12,811.16 = 4,375.72 : x
  2. Step 2: Convert to fraction form
    8,532.84/12,811.16 = 4,375.72/x
  3. Step 3: Cross multiply
    8,532.84x = 12,811.16 × 4,375.72
  4. Step 4: Simplify right side
    8,532.84x = 56,058,075.99
  5. Step 5: Solve for x
    x = 56,058,075.99/8,532.84
  6. Step 6: Final answer
    x = 6,569.68

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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.