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Finding the Fourth Proportional to 12,575.66, 17,354.88 and 7,540.70

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Solution

The fourth proportional to 12,575.66, 17,354.88 and 7,540.70 is: 10,406.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,575.66 : 17,354.88 = 7,540.70 : x
  2. Step 2: Convert to fraction form
    12,575.66/17,354.88 = 7,540.70/x
  3. Step 3: Cross multiply
    12,575.66x = 17,354.88 × 7,540.70
  4. Step 4: Simplify right side
    12,575.66x = 130,867,943.62
  5. Step 5: Solve for x
    x = 130,867,943.62/12,575.66
  6. Step 6: Final answer
    x = 10,406.45

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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.