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Finding the Fourth Proportional to 10,315.50, 14,235.05 and 5,599.82

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Solution

The fourth proportional to 10,315.50, 14,235.05 and 5,599.82 is: 7,727.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.50 : 14,235.05 = 5,599.82 : x
  2. Step 2: Convert to fraction form
    10,315.50/14,235.05 = 5,599.82/x
  3. Step 3: Cross multiply
    10,315.50x = 14,235.05 × 5,599.82
  4. Step 4: Simplify right side
    10,315.50x = 79,713,618.52
  5. Step 5: Solve for x
    x = 79,713,618.52/10,315.50
  6. Step 6: Final answer
    x = 7,727.56

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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.