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Finding the Fourth Proportional to 10,055.81, 13,877.00 and 6,076.17

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Solution

The fourth proportional to 10,055.81, 13,877.00 and 6,076.17 is: 8,385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.81 : 13,877.00 = 6,076.17 : x
  2. Step 2: Convert to fraction form
    10,055.81/13,877.00 = 6,076.17/x
  3. Step 3: Cross multiply
    10,055.81x = 13,877.00 × 6,076.17
  4. Step 4: Simplify right side
    10,055.81x = 84,318,980.71
  5. Step 5: Solve for x
    x = 84,318,980.71/10,055.81
  6. Step 6: Final answer
    x = 8,385.10

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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.