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Finding the Fourth Proportional to 7,807.36, 11,705.27 and 4,053.75

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Solution

The fourth proportional to 7,807.36, 11,705.27 and 4,053.75 is: 6,077.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.36 : 11,705.27 = 4,053.75 : x
  2. Step 2: Convert to fraction form
    7,807.36/11,705.27 = 4,053.75/x
  3. Step 3: Cross multiply
    7,807.36x = 11,705.27 × 4,053.75
  4. Step 4: Simplify right side
    7,807.36x = 47,450,277.09
  5. Step 5: Solve for x
    x = 47,450,277.09/7,807.36
  6. Step 6: Final answer
    x = 6,077.63

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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.