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Finding the Fourth Proportional to 10,032.06, 13,844.72 and 6,053.09

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Solution

The fourth proportional to 10,032.06, 13,844.72 and 6,053.09 is: 8,353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.06 : 13,844.72 = 6,053.09 : x
  2. Step 2: Convert to fraction form
    10,032.06/13,844.72 = 6,053.09/x
  3. Step 3: Cross multiply
    10,032.06x = 13,844.72 × 6,053.09
  4. Step 4: Simplify right side
    10,032.06x = 83,803,236.70
  5. Step 5: Solve for x
    x = 83,803,236.70/10,032.06
  6. Step 6: Final answer
    x = 8,353.54

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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.