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Finding the Fourth Proportional to 10,055.69, 13,877.22 and 6,076.03

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Solution

The fourth proportional to 10,055.69, 13,877.22 and 6,076.03 is: 8,385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.69 : 13,877.22 = 6,076.03 : x
  2. Step 2: Convert to fraction form
    10,055.69/13,877.22 = 6,076.03/x
  3. Step 3: Cross multiply
    10,055.69x = 13,877.22 × 6,076.03
  4. Step 4: Simplify right side
    10,055.69x = 84,318,405.04
  5. Step 5: Solve for x
    x = 84,318,405.04/10,055.69
  6. Step 6: Final answer
    x = 8,385.14

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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.