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Finding the Fourth Proportional to 10,076.61, 13,904.67 and 5,827.02

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Solution

The fourth proportional to 10,076.61, 13,904.67 and 5,827.02 is: 8,040.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.61 : 13,904.67 = 5,827.02 : x
  2. Step 2: Convert to fraction form
    10,076.61/13,904.67 = 5,827.02/x
  3. Step 3: Cross multiply
    10,076.61x = 13,904.67 × 5,827.02
  4. Step 4: Simplify right side
    10,076.61x = 81,022,790.18
  5. Step 5: Solve for x
    x = 81,022,790.18/10,076.61
  6. Step 6: Final answer
    x = 8,040.68

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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.