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Finding the Fourth Proportional to 12,880.62, 17,777.48 and 7,575.66

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Solution

The fourth proportional to 12,880.62, 17,777.48 and 7,575.66 is: 10,455.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,880.62 : 17,777.48 = 7,575.66 : x
  2. Step 2: Convert to fraction form
    12,880.62/17,777.48 = 7,575.66/x
  3. Step 3: Cross multiply
    12,880.62x = 17,777.48 × 7,575.66
  4. Step 4: Simplify right side
    12,880.62x = 134,676,106.26
  5. Step 5: Solve for x
    x = 134,676,106.26/12,880.62
  6. Step 6: Final answer
    x = 10,455.72

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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.