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Finding the Fourth Proportional to 12,276.25, 18,416.93 and 3,957.10

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Solution

The fourth proportional to 12,276.25, 18,416.93 and 3,957.10 is: 5,936.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,276.25 : 18,416.93 = 3,957.10 : x
  2. Step 2: Convert to fraction form
    12,276.25/18,416.93 = 3,957.10/x
  3. Step 3: Cross multiply
    12,276.25x = 18,416.93 × 3,957.10
  4. Step 4: Simplify right side
    12,276.25x = 72,877,699.29
  5. Step 5: Solve for x
    x = 72,877,699.29/12,276.25
  6. Step 6: Final answer
    x = 5,936.48

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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.