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Finding the Fourth Proportional to 8,539.42, 12,810.68 and 4,156.88

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Solution

The fourth proportional to 8,539.42, 12,810.68 and 4,156.88 is: 6,236.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.42 : 12,810.68 = 4,156.88 : x
  2. Step 2: Convert to fraction form
    8,539.42/12,810.68 = 4,156.88/x
  3. Step 3: Cross multiply
    8,539.42x = 12,810.68 × 4,156.88
  4. Step 4: Simplify right side
    8,539.42x = 53,252,459.48
  5. Step 5: Solve for x
    x = 53,252,459.48/8,539.42
  6. Step 6: Final answer
    x = 6,236.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.