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Finding the Fourth Proportional to 8,507.64, 12,744.18 and 4,395

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Solution

The fourth proportional to 8,507.64, 12,744.18 and 4,395 is: 6,583.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.64 : 12,744.18 = 4,395 : x
  2. Step 2: Convert to fraction form
    8,507.64/12,744.18 = 4,395/x
  3. Step 3: Cross multiply
    8,507.64x = 12,744.18 × 4,395
  4. Step 4: Simplify right side
    8,507.64x = 56,010,671.10
  5. Step 5: Solve for x
    x = 56,010,671.10/8,507.64
  6. Step 6: Final answer
    x = 6,583.57

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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.