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Finding the Fourth Proportional to 10,500.32, 15,750.78 and 2,709.13

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Solution

The fourth proportional to 10,500.32, 15,750.78 and 2,709.13 is: 4,063.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.32 : 15,750.78 = 2,709.13 : x
  2. Step 2: Convert to fraction form
    10,500.32/15,750.78 = 2,709.13/x
  3. Step 3: Cross multiply
    10,500.32x = 15,750.78 × 2,709.13
  4. Step 4: Simplify right side
    10,500.32x = 42,670,818.32
  5. Step 5: Solve for x
    x = 42,670,818.32/10,500.32
  6. Step 6: Final answer
    x = 4,063.77

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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.