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Finding the Fourth Proportional to 6,144.17, 8,483.63 and 6,131.87

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Solution

The fourth proportional to 6,144.17, 8,483.63 and 6,131.87 is: 8,466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.17 : 8,483.63 = 6,131.87 : x
  2. Step 2: Convert to fraction form
    6,144.17/8,483.63 = 6,131.87/x
  3. Step 3: Cross multiply
    6,144.17x = 8,483.63 × 6,131.87
  4. Step 4: Simplify right side
    6,144.17x = 52,020,443.21
  5. Step 5: Solve for x
    x = 52,020,443.21/6,144.17
  6. Step 6: Final answer
    x = 8,466.64

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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.