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Finding the Fourth Proportional to 8,322.31, 12,483.44 and 4,158.10

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Solution

The fourth proportional to 8,322.31, 12,483.44 and 4,158.10 is: 6,237.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.31 : 12,483.44 = 4,158.10 : x
  2. Step 2: Convert to fraction form
    8,322.31/12,483.44 = 4,158.10/x
  3. Step 3: Cross multiply
    8,322.31x = 12,483.44 × 4,158.10
  4. Step 4: Simplify right side
    8,322.31x = 51,907,308.66
  5. Step 5: Solve for x
    x = 51,907,308.66/8,322.31
  6. Step 6: Final answer
    x = 6,237.13

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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.