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Finding the Fourth Proportional to 10,703.87, 14,771.24 and 5,988.19

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Solution

The fourth proportional to 10,703.87, 14,771.24 and 5,988.19 is: 8,263.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.87 : 14,771.24 = 5,988.19 : x
  2. Step 2: Convert to fraction form
    10,703.87/14,771.24 = 5,988.19/x
  3. Step 3: Cross multiply
    10,703.87x = 14,771.24 × 5,988.19
  4. Step 4: Simplify right side
    10,703.87x = 88,452,947.24
  5. Step 5: Solve for x
    x = 88,452,947.24/10,703.87
  6. Step 6: Final answer
    x = 8,263.64

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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.