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Finding the Fourth Proportional to 10,485.07, 15,689.91 and 7,704.84

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Solution

The fourth proportional to 10,485.07, 15,689.91 and 7,704.84 is: 11,529.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.07 : 15,689.91 = 7,704.84 : x
  2. Step 2: Convert to fraction form
    10,485.07/15,689.91 = 7,704.84/x
  3. Step 3: Cross multiply
    10,485.07x = 15,689.91 × 7,704.84
  4. Step 4: Simplify right side
    10,485.07x = 120,888,246.16
  5. Step 5: Solve for x
    x = 120,888,246.16/10,485.07
  6. Step 6: Final answer
    x = 11,529.56

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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.