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Finding the Fourth Proportional to 10,425.51, 15,641.87 and 6,525.27

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Solution

The fourth proportional to 10,425.51, 15,641.87 and 6,525.27 is: 9,790.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.51 : 15,641.87 = 6,525.27 : x
  2. Step 2: Convert to fraction form
    10,425.51/15,641.87 = 6,525.27/x
  3. Step 3: Cross multiply
    10,425.51x = 15,641.87 × 6,525.27
  4. Step 4: Simplify right side
    10,425.51x = 102,067,392.43
  5. Step 5: Solve for x
    x = 102,067,392.43/10,425.51
  6. Step 6: Final answer
    x = 9,790.16

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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.