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Finding the Fourth Proportional to 12,849.65, 17,730.45 and 7,811.18

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Solution

The fourth proportional to 12,849.65, 17,730.45 and 7,811.18 is: 10,778.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,849.65 : 17,730.45 = 7,811.18 : x
  2. Step 2: Convert to fraction form
    12,849.65/17,730.45 = 7,811.18/x
  3. Step 3: Cross multiply
    12,849.65x = 17,730.45 × 7,811.18
  4. Step 4: Simplify right side
    12,849.65x = 138,495,647.78
  5. Step 5: Solve for x
    x = 138,495,647.78/12,849.65
  6. Step 6: Final answer
    x = 10,778.17

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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.