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Finding the Fourth Proportional to 6,038.52, 8,371.77 and 5,824.68

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Solution

The fourth proportional to 6,038.52, 8,371.77 and 5,824.68 is: 8,075.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.52 : 8,371.77 = 5,824.68 : x
  2. Step 2: Convert to fraction form
    6,038.52/8,371.77 = 5,824.68/x
  3. Step 3: Cross multiply
    6,038.52x = 8,371.77 × 5,824.68
  4. Step 4: Simplify right side
    6,038.52x = 48,762,881.28
  5. Step 5: Solve for x
    x = 48,762,881.28/6,038.52
  6. Step 6: Final answer
    x = 8,075.30

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.