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Finding the Fourth Proportional to 10,059.12, 13,880.16 and 5,866.56

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Solution

The fourth proportional to 10,059.12, 13,880.16 and 5,866.56 is: 8,095.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.12 : 13,880.16 = 5,866.56 : x
  2. Step 2: Convert to fraction form
    10,059.12/13,880.16 = 5,866.56/x
  3. Step 3: Cross multiply
    10,059.12x = 13,880.16 × 5,866.56
  4. Step 4: Simplify right side
    10,059.12x = 81,428,791.45
  5. Step 5: Solve for x
    x = 81,428,791.45/10,059.12
  6. Step 6: Final answer
    x = 8,095.02

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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.