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Finding the Fourth Proportional to 10,754.36, 14,837.40 and 6,506.72

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Solution

The fourth proportional to 10,754.36, 14,837.40 and 6,506.72 is: 8,977.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.36 : 14,837.40 = 6,506.72 : x
  2. Step 2: Convert to fraction form
    10,754.36/14,837.40 = 6,506.72/x
  3. Step 3: Cross multiply
    10,754.36x = 14,837.40 × 6,506.72
  4. Step 4: Simplify right side
    10,754.36x = 96,542,807.33
  5. Step 5: Solve for x
    x = 96,542,807.33/10,754.36
  6. Step 6: Final answer
    x = 8,977.09

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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.