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Finding the Fourth Proportional to 8,432, 12,653.76 and 2,960

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Solution

The fourth proportional to 8,432, 12,653.76 and 2,960 is: 4,442.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432 : 12,653.76 = 2,960 : x
  2. Step 2: Convert to fraction form
    8,432/12,653.76 = 2,960/x
  3. Step 3: Cross multiply
    8,432x = 12,653.76 × 2,960
  4. Step 4: Simplify right side
    8,432x = 37,455,129.60
  5. Step 5: Solve for x
    x = 37,455,129.60/8,432
  6. Step 6: Final answer
    x = 4,442.02

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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.