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Finding the Fourth Proportional to 8,382.96, 11,553.84 and 6,140.07

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Solution

The fourth proportional to 8,382.96, 11,553.84 and 6,140.07 is: 8,462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.96 : 11,553.84 = 6,140.07 : x
  2. Step 2: Convert to fraction form
    8,382.96/11,553.84 = 6,140.07/x
  3. Step 3: Cross multiply
    8,382.96x = 11,553.84 × 6,140.07
  4. Step 4: Simplify right side
    8,382.96x = 70,941,386.37
  5. Step 5: Solve for x
    x = 70,941,386.37/8,382.96
  6. Step 6: Final answer
    x = 8,462.57

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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.