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Finding the Fourth Proportional to 10,504.14, 15,756.78 and 4,263.24

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Solution

The fourth proportional to 10,504.14, 15,756.78 and 4,263.24 is: 6,395.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.14 : 15,756.78 = 4,263.24 : x
  2. Step 2: Convert to fraction form
    10,504.14/15,756.78 = 4,263.24/x
  3. Step 3: Cross multiply
    10,504.14x = 15,756.78 × 4,263.24
  4. Step 4: Simplify right side
    10,504.14x = 67,174,934.77
  5. Step 5: Solve for x
    x = 67,174,934.77/10,504.14
  6. Step 6: Final answer
    x = 6,395.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.