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Finding the Fourth Proportional to 10,975.57, 16,460.42 and 3,077.65

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Solution

The fourth proportional to 10,975.57, 16,460.42 and 3,077.65 is: 4,615.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975.57 : 16,460.42 = 3,077.65 : x
  2. Step 2: Convert to fraction form
    10,975.57/16,460.42 = 3,077.65/x
  3. Step 3: Cross multiply
    10,975.57x = 16,460.42 × 3,077.65
  4. Step 4: Simplify right side
    10,975.57x = 50,659,411.61
  5. Step 5: Solve for x
    x = 50,659,411.61/10,975.57
  6. Step 6: Final answer
    x = 4,615.65

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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.