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Finding the Fourth Proportional to 8,492.46, 12,739.77 and 2,648.58

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Solution

The fourth proportional to 8,492.46, 12,739.77 and 2,648.58 is: 3,973.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.46 : 12,739.77 = 2,648.58 : x
  2. Step 2: Convert to fraction form
    8,492.46/12,739.77 = 2,648.58/x
  3. Step 3: Cross multiply
    8,492.46x = 12,739.77 × 2,648.58
  4. Step 4: Simplify right side
    8,492.46x = 33,742,300.03
  5. Step 5: Solve for x
    x = 33,742,300.03/8,492.46
  6. Step 6: Final answer
    x = 3,973.21

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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.