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Finding the Fourth Proportional to 10,844.56, 14,964.60 and 6,130

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Solution

The fourth proportional to 10,844.56, 14,964.60 and 6,130 is: 8,458.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,844.56 : 14,964.60 = 6,130 : x
  2. Step 2: Convert to fraction form
    10,844.56/14,964.60 = 6,130/x
  3. Step 3: Cross multiply
    10,844.56x = 14,964.60 × 6,130
  4. Step 4: Simplify right side
    10,844.56x = 91,732,998
  5. Step 5: Solve for x
    x = 91,732,998/10,844.56
  6. Step 6: Final answer
    x = 8,458.90

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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.