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Finding the Fourth Proportional to 10,707.93, 16,062.84 and 3,689.28

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Solution

The fourth proportional to 10,707.93, 16,062.84 and 3,689.28 is: 5,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.93 : 16,062.84 = 3,689.28 : x
  2. Step 2: Convert to fraction form
    10,707.93/16,062.84 = 3,689.28/x
  3. Step 3: Cross multiply
    10,707.93x = 16,062.84 × 3,689.28
  4. Step 4: Simplify right side
    10,707.93x = 59,260,314.36
  5. Step 5: Solve for x
    x = 59,260,314.36/10,707.93
  6. Step 6: Final answer
    x = 5,534.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.