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Finding the Fourth Proportional to 11,962.51, 16,531.04 and 8,973.15

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Solution

The fourth proportional to 11,962.51, 16,531.04 and 8,973.15 is: 12,400.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,962.51 : 16,531.04 = 8,973.15 : x
  2. Step 2: Convert to fraction form
    11,962.51/16,531.04 = 8,973.15/x
  3. Step 3: Cross multiply
    11,962.51x = 16,531.04 × 8,973.15
  4. Step 4: Simplify right side
    11,962.51x = 148,335,535.53
  5. Step 5: Solve for x
    x = 148,335,535.53/11,962.51
  6. Step 6: Final answer
    x = 12,400.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.