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Finding the Fourth Proportional to 8,390.51, 11,577.94 and 6,711.31

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Solution

The fourth proportional to 8,390.51, 11,577.94 and 6,711.31 is: 9,260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.51 : 11,577.94 = 6,711.31 : x
  2. Step 2: Convert to fraction form
    8,390.51/11,577.94 = 6,711.31/x
  3. Step 3: Cross multiply
    8,390.51x = 11,577.94 × 6,711.31
  4. Step 4: Simplify right side
    8,390.51x = 77,703,144.50
  5. Step 5: Solve for x
    x = 77,703,144.50/8,390.51
  6. Step 6: Final answer
    x = 9,260.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.