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Finding the Fourth Proportional to 10,059.40, 13,883.22 and 5,867.64

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Solution

The fourth proportional to 10,059.40, 13,883.22 and 5,867.64 is: 8,098.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.40 : 13,883.22 = 5,867.64 : x
  2. Step 2: Convert to fraction form
    10,059.40/13,883.22 = 5,867.64/x
  3. Step 3: Cross multiply
    10,059.40x = 13,883.22 × 5,867.64
  4. Step 4: Simplify right side
    10,059.40x = 81,461,737.00
  5. Step 5: Solve for x
    x = 81,461,737.00/10,059.40
  6. Step 6: Final answer
    x = 8,098.07

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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.