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Finding the Fourth Proportional to 10,500.94, 15,751.71 and 2,709.75

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Solution

The fourth proportional to 10,500.94, 15,751.71 and 2,709.75 is: 4,064.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.94 : 15,751.71 = 2,709.75 : x
  2. Step 2: Convert to fraction form
    10,500.94/15,751.71 = 2,709.75/x
  3. Step 3: Cross multiply
    10,500.94x = 15,751.71 × 2,709.75
  4. Step 4: Simplify right side
    10,500.94x = 42,683,196.17
  5. Step 5: Solve for x
    x = 42,683,196.17/10,500.94
  6. Step 6: Final answer
    x = 4,064.70

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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.