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Finding the Fourth Proportional to 12,272.64, 18,411.52 and 4,064

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Solution

The fourth proportional to 12,272.64, 18,411.52 and 4,064 is: 6,096.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,272.64 : 18,411.52 = 4,064 : x
  2. Step 2: Convert to fraction form
    12,272.64/18,411.52 = 4,064/x
  3. Step 3: Cross multiply
    12,272.64x = 18,411.52 × 4,064
  4. Step 4: Simplify right side
    12,272.64x = 74,824,417.28
  5. Step 5: Solve for x
    x = 74,824,417.28/12,272.64
  6. Step 6: Final answer
    x = 6,096.85

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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.