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Finding the Fourth Proportional to 8,482.53, 12,706.80 and 4,044.50

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Solution

The fourth proportional to 8,482.53, 12,706.80 and 4,044.50 is: 6,058.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.53 : 12,706.80 = 4,044.50 : x
  2. Step 2: Convert to fraction form
    8,482.53/12,706.80 = 4,044.50/x
  3. Step 3: Cross multiply
    8,482.53x = 12,706.80 × 4,044.50
  4. Step 4: Simplify right side
    8,482.53x = 51,392,715.78
  5. Step 5: Solve for x
    x = 51,392,715.78/8,482.53
  6. Step 6: Final answer
    x = 6,058.65

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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.