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Finding the Fourth Proportional to 10,475.86, 15,709.67 and 3,810.78

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Solution

The fourth proportional to 10,475.86, 15,709.67 and 3,810.78 is: 5,714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.86 : 15,709.67 = 3,810.78 : x
  2. Step 2: Convert to fraction form
    10,475.86/15,709.67 = 3,810.78/x
  3. Step 3: Cross multiply
    10,475.86x = 15,709.67 × 3,810.78
  4. Step 4: Simplify right side
    10,475.86x = 59,866,096.24
  5. Step 5: Solve for x
    x = 59,866,096.24/10,475.86
  6. Step 6: Final answer
    x = 5,714.67

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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.