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Finding the Fourth Proportional to 10,010.54, 13,816.22 and 6,032.02

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Solution

The fourth proportional to 10,010.54, 13,816.22 and 6,032.02 is: 8,325.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010.54 : 13,816.22 = 6,032.02 : x
  2. Step 2: Convert to fraction form
    10,010.54/13,816.22 = 6,032.02/x
  3. Step 3: Cross multiply
    10,010.54x = 13,816.22 × 6,032.02
  4. Step 4: Simplify right side
    10,010.54x = 83,339,715.36
  5. Step 5: Solve for x
    x = 83,339,715.36/10,010.54
  6. Step 6: Final answer
    x = 8,325.20

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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.