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Finding the Fourth Proportional to 10,283.68, 14,191.62 and 5,807.50

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Solution

The fourth proportional to 10,283.68, 14,191.62 and 5,807.50 is: 8,014.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.68 : 14,191.62 = 5,807.50 : x
  2. Step 2: Convert to fraction form
    10,283.68/14,191.62 = 5,807.50/x
  3. Step 3: Cross multiply
    10,283.68x = 14,191.62 × 5,807.50
  4. Step 4: Simplify right side
    10,283.68x = 82,417,833.15
  5. Step 5: Solve for x
    x = 82,417,833.15/10,283.68
  6. Step 6: Final answer
    x = 8,014.43

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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.