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Finding the Fourth Proportional to 10,357.94, 14,293.13 and 5,880.87

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Solution

The fourth proportional to 10,357.94, 14,293.13 and 5,880.87 is: 8,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.94 : 14,293.13 = 5,880.87 : x
  2. Step 2: Convert to fraction form
    10,357.94/14,293.13 = 5,880.87/x
  3. Step 3: Cross multiply
    10,357.94x = 14,293.13 × 5,880.87
  4. Step 4: Simplify right side
    10,357.94x = 84,056,010.02
  5. Step 5: Solve for x
    x = 84,056,010.02/10,357.94
  6. Step 6: Final answer
    x = 8,115.13

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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.