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Finding the Fourth Proportional to 12,778.04, 17,631.66 and 7,741.40

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Solution

The fourth proportional to 12,778.04, 17,631.66 and 7,741.40 is: 10,681.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.04 : 17,631.66 = 7,741.40 : x
  2. Step 2: Convert to fraction form
    12,778.04/17,631.66 = 7,741.40/x
  3. Step 3: Cross multiply
    12,778.04x = 17,631.66 × 7,741.40
  4. Step 4: Simplify right side
    12,778.04x = 136,493,732.72
  5. Step 5: Solve for x
    x = 136,493,732.72/12,778.04
  6. Step 6: Final answer
    x = 10,681.90

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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.