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Finding the Fourth Proportional to 10,357.05, 14,293.08 and 5,880.65

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Solution

The fourth proportional to 10,357.05, 14,293.08 and 5,880.65 is: 8,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.05 : 14,293.08 = 5,880.65 : x
  2. Step 2: Convert to fraction form
    10,357.05/14,293.08 = 5,880.65/x
  3. Step 3: Cross multiply
    10,357.05x = 14,293.08 × 5,880.65
  4. Step 4: Simplify right side
    10,357.05x = 84,052,550.47
  5. Step 5: Solve for x
    x = 84,052,550.47/10,357.05
  6. Step 6: Final answer
    x = 8,115.50

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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.