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Finding the Fourth Proportional to 11,781.48, 16,254.30 and 7,300.56

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Solution

The fourth proportional to 11,781.48, 16,254.30 and 7,300.56 is: 10,072.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.48 : 16,254.30 = 7,300.56 : x
  2. Step 2: Convert to fraction form
    11,781.48/16,254.30 = 7,300.56/x
  3. Step 3: Cross multiply
    11,781.48x = 16,254.30 × 7,300.56
  4. Step 4: Simplify right side
    11,781.48x = 118,665,492.41
  5. Step 5: Solve for x
    x = 118,665,492.41/11,781.48
  6. Step 6: Final answer
    x = 10,072.21

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