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Finding the Fourth Proportional to 10,016.54, 13,825.71 and 7,033.10

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Solution

The fourth proportional to 10,016.54, 13,825.71 and 7,033.10 is: 9,707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.54 : 13,825.71 = 7,033.10 : x
  2. Step 2: Convert to fraction form
    10,016.54/13,825.71 = 7,033.10/x
  3. Step 3: Cross multiply
    10,016.54x = 13,825.71 × 7,033.10
  4. Step 4: Simplify right side
    10,016.54x = 97,237,601.00
  5. Step 5: Solve for x
    x = 97,237,601.00/10,016.54
  6. Step 6: Final answer
    x = 9,707.70

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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.