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Finding the Fourth Proportional to 10,460, 14,422 and 8,214.88

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Solution

The fourth proportional to 10,460, 14,422 and 8,214.88 is: 11,326.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460 : 14,422 = 8,214.88 : x
  2. Step 2: Convert to fraction form
    10,460/14,422 = 8,214.88/x
  3. Step 3: Cross multiply
    10,460x = 14,422 × 8,214.88
  4. Step 4: Simplify right side
    10,460x = 118,474,999.36
  5. Step 5: Solve for x
    x = 118,474,999.36/10,460
  6. Step 6: Final answer
    x = 11,326.48

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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.