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Finding the Fourth Proportional to 10,357.85, 14,293.92 and 5,881.69

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Solution

The fourth proportional to 10,357.85, 14,293.92 and 5,881.69 is: 8,116.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.85 : 14,293.92 = 5,881.69 : x
  2. Step 2: Convert to fraction form
    10,357.85/14,293.92 = 5,881.69/x
  3. Step 3: Cross multiply
    10,357.85x = 14,293.92 × 5,881.69
  4. Step 4: Simplify right side
    10,357.85x = 84,072,406.32
  5. Step 5: Solve for x
    x = 84,072,406.32/10,357.85
  6. Step 6: Final answer
    x = 8,116.79

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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.