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Finding the Fourth Proportional to 10,754.52, 14,846.10 and 7,219.68

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Solution

The fourth proportional to 10,754.52, 14,846.10 and 7,219.68 is: 9,966.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.52 : 14,846.10 = 7,219.68 : x
  2. Step 2: Convert to fraction form
    10,754.52/14,846.10 = 7,219.68/x
  3. Step 3: Cross multiply
    10,754.52x = 14,846.10 × 7,219.68
  4. Step 4: Simplify right side
    10,754.52x = 107,184,091.25
  5. Step 5: Solve for x
    x = 107,184,091.25/10,754.52
  6. Step 6: Final answer
    x = 9,966.42

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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.