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Finding the Fourth Proportional to 10,016.16, 13,822.07 and 5,539.94

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Solution

The fourth proportional to 10,016.16, 13,822.07 and 5,539.94 is: 7,645.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.16 : 13,822.07 = 5,539.94 : x
  2. Step 2: Convert to fraction form
    10,016.16/13,822.07 = 5,539.94/x
  3. Step 3: Cross multiply
    10,016.16x = 13,822.07 × 5,539.94
  4. Step 4: Simplify right side
    10,016.16x = 76,573,486.83
  5. Step 5: Solve for x
    x = 76,573,486.83/10,016.16
  6. Step 6: Final answer
    x = 7,645.00

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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.