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Finding the Fourth Proportional to 10,315.52, 14,235.41 and 5,599.80

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Solution

The fourth proportional to 10,315.52, 14,235.41 and 5,599.80 is: 7,727.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.52 : 14,235.41 = 5,599.80 : x
  2. Step 2: Convert to fraction form
    10,315.52/14,235.41 = 5,599.80/x
  3. Step 3: Cross multiply
    10,315.52x = 14,235.41 × 5,599.80
  4. Step 4: Simplify right side
    10,315.52x = 79,715,420.92
  5. Step 5: Solve for x
    x = 79,715,420.92/10,315.52
  6. Step 6: Final answer
    x = 7,727.72

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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.