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Finding the Fourth Proportional to 10,695.94, 16,025.42 and 7,570.65

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Solution

The fourth proportional to 10,695.94, 16,025.42 and 7,570.65 is: 11,342.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.94 : 16,025.42 = 7,570.65 : x
  2. Step 2: Convert to fraction form
    10,695.94/16,025.42 = 7,570.65/x
  3. Step 3: Cross multiply
    10,695.94x = 16,025.42 × 7,570.65
  4. Step 4: Simplify right side
    10,695.94x = 121,322,845.92
  5. Step 5: Solve for x
    x = 121,322,845.92/10,695.94
  6. Step 6: Final answer
    x = 11,342.89

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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.