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Finding the Fourth Proportional to 7,851.60, 11,767.80 and 3,464.40

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Solution

The fourth proportional to 7,851.60, 11,767.80 and 3,464.40 is: 5,192.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.60 : 11,767.80 = 3,464.40 : x
  2. Step 2: Convert to fraction form
    7,851.60/11,767.80 = 3,464.40/x
  3. Step 3: Cross multiply
    7,851.60x = 11,767.80 × 3,464.40
  4. Step 4: Simplify right side
    7,851.60x = 40,768,366.32
  5. Step 5: Solve for x
    x = 40,768,366.32/7,851.60
  6. Step 6: Final answer
    x = 5,192.36

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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.