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Finding the Fourth Proportional to 10,006.28, 13,807.76 and 5,756.21

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Solution

The fourth proportional to 10,006.28, 13,807.76 and 5,756.21 is: 7,943.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.28 : 13,807.76 = 5,756.21 : x
  2. Step 2: Convert to fraction form
    10,006.28/13,807.76 = 5,756.21/x
  3. Step 3: Cross multiply
    10,006.28x = 13,807.76 × 5,756.21
  4. Step 4: Simplify right side
    10,006.28x = 79,480,415.10
  5. Step 5: Solve for x
    x = 79,480,415.10/10,006.28
  6. Step 6: Final answer
    x = 7,943.05

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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.