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Finding the Fourth Proportional to 12,579, 17,352.42 and 7,540.80

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Solution

The fourth proportional to 12,579, 17,352.42 and 7,540.80 is: 10,402.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,579 : 17,352.42 = 7,540.80 : x
  2. Step 2: Convert to fraction form
    12,579/17,352.42 = 7,540.80/x
  3. Step 3: Cross multiply
    12,579x = 17,352.42 × 7,540.80
  4. Step 4: Simplify right side
    12,579x = 130,851,128.74
  5. Step 5: Solve for x
    x = 130,851,128.74/12,579
  6. Step 6: Final answer
    x = 10,402.35

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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.