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Finding the Fourth Proportional to 10,772.58, 16,141.56 and 7,072

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Solution

The fourth proportional to 10,772.58, 16,141.56 and 7,072 is: 10,596.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.58 : 16,141.56 = 7,072 : x
  2. Step 2: Convert to fraction form
    10,772.58/16,141.56 = 7,072/x
  3. Step 3: Cross multiply
    10,772.58x = 16,141.56 × 7,072
  4. Step 4: Simplify right side
    10,772.58x = 114,153,112.32
  5. Step 5: Solve for x
    x = 114,153,112.32/10,772.58
  6. Step 6: Final answer
    x = 10,596.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.