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Finding the Fourth Proportional to 10,056.57, 13,877.11 and 5,807.31

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Solution

The fourth proportional to 10,056.57, 13,877.11 and 5,807.31 is: 8,013.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.57 : 13,877.11 = 5,807.31 : x
  2. Step 2: Convert to fraction form
    10,056.57/13,877.11 = 5,807.31/x
  3. Step 3: Cross multiply
    10,056.57x = 13,877.11 × 5,807.31
  4. Step 4: Simplify right side
    10,056.57x = 80,588,679.67
  5. Step 5: Solve for x
    x = 80,588,679.67/10,056.57
  6. Step 6: Final answer
    x = 8,013.54

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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.