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Finding the Fourth Proportional to 10,476.16, 14,450.88 and 9,076.48

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Solution

The fourth proportional to 10,476.16, 14,450.88 and 9,076.48 is: 12,520.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.16 : 14,450.88 = 9,076.48 : x
  2. Step 2: Convert to fraction form
    10,476.16/14,450.88 = 9,076.48/x
  3. Step 3: Cross multiply
    10,476.16x = 14,450.88 × 9,076.48
  4. Step 4: Simplify right side
    10,476.16x = 131,163,123.30
  5. Step 5: Solve for x
    x = 131,163,123.30/10,476.16
  6. Step 6: Final answer
    x = 12,520.15

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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.