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Finding the Fourth Proportional to 7,862.66, 11,798.55 and 3,967.37

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Solution

The fourth proportional to 7,862.66, 11,798.55 and 3,967.37 is: 5,953.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.66 : 11,798.55 = 3,967.37 : x
  2. Step 2: Convert to fraction form
    7,862.66/11,798.55 = 3,967.37/x
  3. Step 3: Cross multiply
    7,862.66x = 11,798.55 × 3,967.37
  4. Step 4: Simplify right side
    7,862.66x = 46,809,242.81
  5. Step 5: Solve for x
    x = 46,809,242.81/7,862.66
  6. Step 6: Final answer
    x = 5,953.36

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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.