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Finding the Fourth Proportional to 12,760.90, 19,138.92 and 6,184.12

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Solution

The fourth proportional to 12,760.90, 19,138.92 and 6,184.12 is: 9,275.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,760.90 : 19,138.92 = 6,184.12 : x
  2. Step 2: Convert to fraction form
    12,760.90/19,138.92 = 6,184.12/x
  3. Step 3: Cross multiply
    12,760.90x = 19,138.92 × 6,184.12
  4. Step 4: Simplify right side
    12,760.90x = 118,357,377.95
  5. Step 5: Solve for x
    x = 118,357,377.95/12,760.90
  6. Step 6: Final answer
    x = 9,275.00

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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.