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Finding the Fourth Proportional to 7,934.86, 10,950.16 and 4,577.82

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Solution

The fourth proportional to 7,934.86, 10,950.16 and 4,577.82 is: 6,317.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.86 : 10,950.16 = 4,577.82 : x
  2. Step 2: Convert to fraction form
    7,934.86/10,950.16 = 4,577.82/x
  3. Step 3: Cross multiply
    7,934.86x = 10,950.16 × 4,577.82
  4. Step 4: Simplify right side
    7,934.86x = 50,127,830.40
  5. Step 5: Solve for x
    x = 50,127,830.40/7,934.86
  6. Step 6: Final answer
    x = 6,317.42

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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.