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Finding the Fourth Proportional to 7,828.60, 11,739.06 and 3,875.29

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Solution

The fourth proportional to 7,828.60, 11,739.06 and 3,875.29 is: 5,811.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.60 : 11,739.06 = 3,875.29 : x
  2. Step 2: Convert to fraction form
    7,828.60/11,739.06 = 3,875.29/x
  3. Step 3: Cross multiply
    7,828.60x = 11,739.06 × 3,875.29
  4. Step 4: Simplify right side
    7,828.60x = 45,492,261.83
  5. Step 5: Solve for x
    x = 45,492,261.83/7,828.60
  6. Step 6: Final answer
    x = 5,811.03

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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.