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Finding the Fourth Proportional to 8,532.33, 12,810.47 and 4,375.34

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Solution

The fourth proportional to 8,532.33, 12,810.47 and 4,375.34 is: 6,569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.33 : 12,810.47 = 4,375.34 : x
  2. Step 2: Convert to fraction form
    8,532.33/12,810.47 = 4,375.34/x
  3. Step 3: Cross multiply
    8,532.33x = 12,810.47 × 4,375.34
  4. Step 4: Simplify right side
    8,532.33x = 56,050,075.88
  5. Step 5: Solve for x
    x = 56,050,075.88/8,532.33
  6. Step 6: Final answer
    x = 6,569.14

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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.