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Finding the Fourth Proportional to 10,548.97, 14,554.29 and 7,012.78

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Solution

The fourth proportional to 10,548.97, 14,554.29 and 7,012.78 is: 9,675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,548.97 : 14,554.29 = 7,012.78 : x
  2. Step 2: Convert to fraction form
    10,548.97/14,554.29 = 7,012.78/x
  3. Step 3: Cross multiply
    10,548.97x = 14,554.29 × 7,012.78
  4. Step 4: Simplify right side
    10,548.97x = 102,066,033.83
  5. Step 5: Solve for x
    x = 102,066,033.83/10,548.97
  6. Step 6: Final answer
    x = 9,675.45

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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.