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Finding the Fourth Proportional to 12,148.55, 16,764.92 and 6,845.07

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Solution

The fourth proportional to 12,148.55, 16,764.92 and 6,845.07 is: 9,446.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.55 : 16,764.92 = 6,845.07 : x
  2. Step 2: Convert to fraction form
    12,148.55/16,764.92 = 6,845.07/x
  3. Step 3: Cross multiply
    12,148.55x = 16,764.92 × 6,845.07
  4. Step 4: Simplify right side
    12,148.55x = 114,757,143.76
  5. Step 5: Solve for x
    x = 114,757,143.76/12,148.55
  6. Step 6: Final answer
    x = 9,446.16

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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.