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Finding the Fourth Proportional to 7,870.28, 11,804.42 and 3,973

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Solution

The fourth proportional to 7,870.28, 11,804.42 and 3,973 is: 5,959.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.28 : 11,804.42 = 3,973 : x
  2. Step 2: Convert to fraction form
    7,870.28/11,804.42 = 3,973/x
  3. Step 3: Cross multiply
    7,870.28x = 11,804.42 × 3,973
  4. Step 4: Simplify right side
    7,870.28x = 46,898,960.66
  5. Step 5: Solve for x
    x = 46,898,960.66/7,870.28
  6. Step 6: Final answer
    x = 5,959.00

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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.