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Finding the Fourth Proportional to 10,283.89, 14,191.52 and 5,807.49

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Solution

The fourth proportional to 10,283.89, 14,191.52 and 5,807.49 is: 8,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.89 : 14,191.52 = 5,807.49 : x
  2. Step 2: Convert to fraction form
    10,283.89/14,191.52 = 5,807.49/x
  3. Step 3: Cross multiply
    10,283.89x = 14,191.52 × 5,807.49
  4. Step 4: Simplify right side
    10,283.89x = 82,417,110.48
  5. Step 5: Solve for x
    x = 82,417,110.48/10,283.89
  6. Step 6: Final answer
    x = 8,014.20

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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.