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Finding the Fourth Proportional to 7,914.71, 10,922.82 and 4,377.98

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Solution

The fourth proportional to 7,914.71, 10,922.82 and 4,377.98 is: 6,041.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.71 : 10,922.82 = 4,377.98 : x
  2. Step 2: Convert to fraction form
    7,914.71/10,922.82 = 4,377.98/x
  3. Step 3: Cross multiply
    7,914.71x = 10,922.82 × 4,377.98
  4. Step 4: Simplify right side
    7,914.71x = 47,819,887.50
  5. Step 5: Solve for x
    x = 47,819,887.50/7,914.71
  6. Step 6: Final answer
    x = 6,041.90

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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.