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Finding the Fourth Proportional to 7,840.51, 11,762.39 and 2,646.25

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Solution

The fourth proportional to 7,840.51, 11,762.39 and 2,646.25 is: 3,969.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.51 : 11,762.39 = 2,646.25 : x
  2. Step 2: Convert to fraction form
    7,840.51/11,762.39 = 2,646.25/x
  3. Step 3: Cross multiply
    7,840.51x = 11,762.39 × 2,646.25
  4. Step 4: Simplify right side
    7,840.51x = 31,126,224.54
  5. Step 5: Solve for x
    x = 31,126,224.54/7,840.51
  6. Step 6: Final answer
    x = 3,969.92

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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.