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Finding the Fourth Proportional to 10,461, 14,443.48 and 7,321.44

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Solution

The fourth proportional to 10,461, 14,443.48 and 7,321.44 is: 10,108.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461 : 14,443.48 = 7,321.44 : x
  2. Step 2: Convert to fraction form
    10,461/14,443.48 = 7,321.44/x
  3. Step 3: Cross multiply
    10,461x = 14,443.48 × 7,321.44
  4. Step 4: Simplify right side
    10,461x = 105,747,072.21
  5. Step 5: Solve for x
    x = 105,747,072.21/10,461
  6. Step 6: Final answer
    x = 10,108.70

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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.