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Finding the Fourth Proportional to 7,927.86, 11,827.23 and 7,284.98

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Solution

The fourth proportional to 7,927.86, 11,827.23 and 7,284.98 is: 10,868.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.86 : 11,827.23 = 7,284.98 : x
  2. Step 2: Convert to fraction form
    7,927.86/11,827.23 = 7,284.98/x
  3. Step 3: Cross multiply
    7,927.86x = 11,827.23 × 7,284.98
  4. Step 4: Simplify right side
    7,927.86x = 86,161,074.87
  5. Step 5: Solve for x
    x = 86,161,074.87/7,927.86
  6. Step 6: Final answer
    x = 10,868.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.