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Finding the Fourth Proportional to 8,148.31, 12,216.47 and 2,598.46

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Solution

The fourth proportional to 8,148.31, 12,216.47 and 2,598.46 is: 3,895.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.31 : 12,216.47 = 2,598.46 : x
  2. Step 2: Convert to fraction form
    8,148.31/12,216.47 = 2,598.46/x
  3. Step 3: Cross multiply
    8,148.31x = 12,216.47 × 2,598.46
  4. Step 4: Simplify right side
    8,148.31x = 31,743,965.10
  5. Step 5: Solve for x
    x = 31,743,965.10/8,148.31
  6. Step 6: Final answer
    x = 3,895.77

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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.