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Finding the Fourth Proportional to 10,551.03, 14,562 and 6,074.48

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Solution

The fourth proportional to 10,551.03, 14,562 and 6,074.48 is: 8,383.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,551.03 : 14,562 = 6,074.48 : x
  2. Step 2: Convert to fraction form
    10,551.03/14,562 = 6,074.48/x
  3. Step 3: Cross multiply
    10,551.03x = 14,562 × 6,074.48
  4. Step 4: Simplify right side
    10,551.03x = 88,456,504.95
  5. Step 5: Solve for x
    x = 88,456,504.95/10,551.03
  6. Step 6: Final answer
    x = 8,383.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.