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Finding the Fourth Proportional to 7,851.47, 11,783.34 and 3,471.99

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Solution

The fourth proportional to 7,851.47, 11,783.34 and 3,471.99 is: 5,210.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.47 : 11,783.34 = 3,471.99 : x
  2. Step 2: Convert to fraction form
    7,851.47/11,783.34 = 3,471.99/x
  3. Step 3: Cross multiply
    7,851.47x = 11,783.34 × 3,471.99
  4. Step 4: Simplify right side
    7,851.47x = 40,911,638.65
  5. Step 5: Solve for x
    x = 40,911,638.65/7,851.47
  6. Step 6: Final answer
    x = 5,210.70

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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.