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Finding the Fourth Proportional to 11,575.53, 15,973.28 and 6,540.19

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Solution

The fourth proportional to 11,575.53, 15,973.28 and 6,540.19 is: 9,024.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,575.53 : 15,973.28 = 6,540.19 : x
  2. Step 2: Convert to fraction form
    11,575.53/15,973.28 = 6,540.19/x
  3. Step 3: Cross multiply
    11,575.53x = 15,973.28 × 6,540.19
  4. Step 4: Simplify right side
    11,575.53x = 104,468,274.80
  5. Step 5: Solve for x
    x = 104,468,274.80/11,575.53
  6. Step 6: Final answer
    x = 9,024.92

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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.