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Finding the Fourth Proportional to 10,542.74, 14,548.95 and 6,005.42

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Solution

The fourth proportional to 10,542.74, 14,548.95 and 6,005.42 is: 8,287.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.74 : 14,548.95 = 6,005.42 : x
  2. Step 2: Convert to fraction form
    10,542.74/14,548.95 = 6,005.42/x
  3. Step 3: Cross multiply
    10,542.74x = 14,548.95 × 6,005.42
  4. Step 4: Simplify right side
    10,542.74x = 87,372,467.55
  5. Step 5: Solve for x
    x = 87,372,467.55/10,542.74
  6. Step 6: Final answer
    x = 8,287.46

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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.