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Finding the Fourth Proportional to 8,637.88, 12,962.54 and 4,745

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Solution

The fourth proportional to 8,637.88, 12,962.54 and 4,745 is: 7,120.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,637.88 : 12,962.54 = 4,745 : x
  2. Step 2: Convert to fraction form
    8,637.88/12,962.54 = 4,745/x
  3. Step 3: Cross multiply
    8,637.88x = 12,962.54 × 4,745
  4. Step 4: Simplify right side
    8,637.88x = 61,507,252.30
  5. Step 5: Solve for x
    x = 61,507,252.30/8,637.88
  6. Step 6: Final answer
    x = 7,120.64

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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.