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Finding the Fourth Proportional to 10,312.20, 14,230.92 and 5,596.52

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Solution

The fourth proportional to 10,312.20, 14,230.92 and 5,596.52 is: 7,723.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312.20 : 14,230.92 = 5,596.52 : x
  2. Step 2: Convert to fraction form
    10,312.20/14,230.92 = 5,596.52/x
  3. Step 3: Cross multiply
    10,312.20x = 14,230.92 × 5,596.52
  4. Step 4: Simplify right side
    10,312.20x = 79,643,557.24
  5. Step 5: Solve for x
    x = 79,643,557.24/10,312.20
  6. Step 6: Final answer
    x = 7,723.24

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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.